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151399872 = 26321320219
BaseRepresentation
bin10010000011000…
…10110111000000
3101112212220120200
421001202313000
5302224243442
623005005200
73515610021
oct1101426700
9345786520
10151399872
1178508a68
1242853800
132549c130
1416170c48
15d45934c
hex9062dc0

151399872 has 84 divisors (see below), whose sum is σ = 467365080. Its totient is φ = 46582272.

The previous prime is 151399867. The next prime is 151399873. The reversal of 151399872 is 278993151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151399873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2622 + ... + 17597.

It is an arithmetic number, because the mean of its divisors is an integer number (5563870).

Almost surely, 2151399872 is an apocalyptic number.

151399872 is a gapful number since it is divisible by the number (12) 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 151399872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233682540).

151399872 is an abundant number, since it is smaller than the sum of its proper divisors (315965208).

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

151399872 is a wasteful number, since it uses less digits than its factorization.

151399872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20250 (or 20237 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 151399872 is about 12304.4655308550. The cubic root of 151399872 is about 532.9770425903.

The spelling of 151399872 in words is "one hundred fifty-one million, three hundred ninety-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 20219 40438 60657 80876 121314 161752 181971 242628 262847 323504 363942 485256 525694 647008 727884 788541 970512 1051388 1294016 1455768 1577082 1941024 2102776 2365623 2911536 3154164 3882048 4205552 4731246 5823072 6308328 8411104 9462492 11646144 12616656 16822208 18924984 25233312 37849968 50466624 75699936 151399872