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151869900 = 223527135563
BaseRepresentation
bin10010000110101…
…01100111001100
3101120202210100010
421003111213030
5302334314100
623023033220
73522605250
oct1103254714
9346683303
10151869900
11787aa116
1242a3b810
1325605060
1416254260
15d4ed750
hex90d59cc

151869900 has 144 divisors (see below), whose sum is σ = 540909824. Its totient is φ = 32037120.

The previous prime is 151869881. The next prime is 151869901. The reversal of 151869900 is 9968151.

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

It is not an unprimeable number, because it can be changed into a prime (151869901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24519 + ... + 30081.

Almost surely, 2151869900 is an apocalyptic number.

151869900 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 151869900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270454912).

151869900 is an abundant number, since it is smaller than the sum of its proper divisors (389039924).

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

151869900 is a wasteful number, since it uses less digits than its factorization.

151869900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600 (or 5593 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 151869900 is about 12323.5506247185. The cubic root of 151869900 is about 533.5280235389.

The spelling of 151869900 in words is "one hundred fifty-one million, eight hundred sixty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1950 2100 2275 2730 3900 4550 5460 5563 6825 9100 11126 13650 16689 22252 27300 27815 33378 38941 55630 66756 72319 77882 83445 111260 116823 139075 144638 155764 166890 194705 216957 233646 278150 289276 333780 361595 389410 417225 433914 467292 506233 556300 584115 723190 778820 834450 867828 973525 1012466 1084785 1168230 1446380 1518699 1668900 1807975 1947050 2024932 2169570 2336460 2531165 2920575 3037398 3615950 3894100 4339140 5062330 5423925 5841150 6074796 7231900 7593495 10124660 10847850 11682300 12655825 15186990 21695700 25311650 30373980 37967475 50623300 75934950 151869900