[go: up one dir, main page]

Search a number
-
+
1054868688 = 243223734363
BaseRepresentation
bin111110111000000…
…000010011010000
32201111220212210200
4332320000103100
54130021244223
6252401255200
735066143626
oct7670002320
92644825720
101054868688
114a149a505
12255334500
1313a70b673
14a0151516
156291da43
hex3ee004d0

1054868688 has 120 divisors (see below), whose sum is σ = 3123436992. Its totient is φ = 331651584.

The previous prime is 1054868677. The next prime is 1054868741. The reversal of 1054868688 is 8868684501.

1054868688 is a `hidden beast` number, since 1 + 0 + 5 + 486 + 86 + 88 = 666.

It is a super-2 number, since 2×10548686882 = 2225495897845682688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239595 + ... + 243957.

Almost surely, 21054868688 is an apocalyptic number.

1054868688 is a gapful number since it is divisible by the number (18) 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 1054868688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561718496).

1054868688 is an abundant number, since it is smaller than the sum of its proper divisors (2068568304).

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

1054868688 is a wasteful number, since it uses less digits than its factorization.

1054868688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4473 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 1054868688 is about 32478.7420938681. The cubic root of 1054868688 is about 1017.9648926513.

The spelling of 1054868688 in words is "one billion, fifty-four million, eight hundred sixty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 73 92 138 144 146 184 207 219 276 292 368 414 438 552 584 657 828 876 1104 1168 1314 1656 1679 1752 2628 3312 3358 3504 4363 5037 5256 6716 8726 10074 10512 13089 13432 15111 17452 20148 26178 26864 30222 34904 39267 40296 52356 60444 69808 78534 80592 100349 104712 120888 157068 200698 209424 241776 301047 314136 318499 401396 602094 628272 636998 802792 903141 955497 1204188 1273996 1605584 1806282 1910994 2408376 2547992 2866491 3612564 3821988 4816752 5095984 5732982 7225128 7325477 7643976 11465964 14450256 14650954 15287952 21976431 22931928 29301908 43952862 45863856 58603816 65929293 87905724 117207632 131858586 175811448 263717172 351622896 527434344 1054868688