[go: up one dir, main page]

Search a number
-
+
18936840 = 23351361199
BaseRepresentation
bin100100000111…
…1010000001000
31022122002110110
41020033100020
514321434330
61513514320
7316650306
oct110172010
938562413
1018936840
11a76458a
1264129a0
133c00540
14272d276
1519e0db0
hex120f408

18936840 has 128 divisors (see below), whose sum is σ = 62496000. Its totient is φ = 4561920.

The previous prime is 18936829. The next prime is 18936893. The reversal of 18936840 is 4863981.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95061 + ... + 95259.

It is an arithmetic number, because the mean of its divisors is an integer number (488250).

Almost surely, 218936840 is an apocalyptic number.

18936840 is a gapful number since it is divisible by the number (10) 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 18936840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248000).

18936840 is an abundant number, since it is smaller than the sum of its proper divisors (43559160).

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

18936840 is a wasteful number, since it uses less digits than its factorization.

18936840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 18936840 is about 4351.6479637029. The cubic root of 18936840 is about 266.5441590059.

The spelling of 18936840 in words is "eighteen million, nine hundred thirty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 61 65 78 104 120 122 130 156 183 195 199 244 260 305 312 366 390 398 488 520 597 610 732 780 793 796 915 995 1194 1220 1464 1560 1586 1592 1830 1990 2379 2388 2440 2587 2985 3172 3660 3965 3980 4758 4776 5174 5970 6344 7320 7761 7930 7960 9516 10348 11895 11940 12139 12935 15522 15860 19032 20696 23790 23880 24278 25870 31044 31720 36417 38805 47580 48556 51740 60695 62088 72834 77610 95160 97112 103480 121390 145668 155220 157807 182085 242780 291336 310440 315614 364170 473421 485560 631228 728340 789035 946842 1262456 1456680 1578070 1893684 2367105 3156140 3787368 4734210 6312280 9468420 18936840