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2154550104 = 233473491361
BaseRepresentation
bin1000000001101011…
…1101001101011000
312120011011111010000
42000122331031120
513403031100404
6553443253000
7104251242120
oct20032751530
95504144100
102154550104
11a06207423
1250167a160
132844aa325
14166209c80
15c9240339
hex806bd358

2154550104 has 160 divisors (see below), whose sum is σ = 6921684000. Its totient is φ = 613370880.

The previous prime is 2154550103. The next prime is 2154550109. The reversal of 2154550104 is 4010554512.

2154550104 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 550 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154550103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1582384 + ... + 1583744.

It is an arithmetic number, because the mean of its divisors is an integer number (43260525).

Almost surely, 22154550104 is an apocalyptic number.

2154550104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2154550104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460842000).

2154550104 is an abundant number, since it is smaller than the sum of its proper divisors (4767133896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2154550104 is a wasteful number, since it uses less digits than its factorization.

2154550104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 2154550104 is about 46417.1315787609. The cubic root of 2154550104 is about 1291.5727275551.

The spelling of 2154550104 in words is "two billion, one hundred fifty-four million, five hundred fifty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 349 378 504 567 648 698 756 1047 1134 1361 1396 1512 2094 2268 2443 2722 2792 3141 4083 4188 4536 4886 5444 6282 7329 8166 8376 9423 9527 9772 10888 12249 12564 14658 16332 18846 19054 19544 21987 24498 25128 28269 28581 29316 32664 36747 37692 38108 43974 48996 56538 57162 58632 65961 73494 75384 76216 85743 87948 97992 110241 113076 114324 131922 146988 171486 175896 197883 220482 226152 228648 257229 263844 293976 342972 395766 440964 474989 514458 527688 685944 771687 791532 881928 949978 1028916 1424967 1543374 1583064 1899956 2057832 2849934 3086748 3324923 3799912 4274901 5699868 6173496 6649846 8549802 9974769 11399736 12824703 13299692 17099604 19949538 25649406 26599384 29924307 34199208 38474109 39899076 51298812 59848614 76948218 79798152 89772921 102597624 119697228 153896436 179545842 239394456 269318763 307792872 359091684 538637526 718183368 1077275052 2154550104