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151043984 = 24713227457
BaseRepresentation
bin10010000000010…
…11111110010000
3101112012211101122
421000023332100
5302131401414
622553221412
73512565320
oct1100137620
9345184348
10151043984
1178295643
1242701868
13253a6150
14160bb280
15d3d8b8e
hex900bf90

151043984 has 80 divisors (see below), whose sum is σ = 362560128. Its totient is φ = 59360256.

The previous prime is 151043911. The next prime is 151043987. The reversal of 151043984 is 489340151.

It is not an unprimeable number, because it can be changed into a prime (151043987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330284 + ... + 330740.

Almost surely, 2151043984 is an apocalyptic number.

151043984 is a gapful number since it is divisible by the number (14) 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 151043984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181280064).

151043984 is an abundant number, since it is smaller than the sum of its proper divisors (211516144).

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

151043984 is a wasteful number, since it uses less digits than its factorization.

151043984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 151043984 is about 12289.9952807151. The cubic root of 151043984 is about 532.5591009072.

The spelling of 151043984 in words is "one hundred fifty-one million, forty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 227 364 454 457 728 908 914 1456 1589 1816 1828 2951 3178 3199 3632 3656 5902 5941 6356 6398 7312 11804 11882 12712 12796 20657 23608 23764 25424 25592 41314 41587 47216 47528 51184 82628 83174 95056 103739 165256 166348 207478 330512 332696 414956 665392 726173 829912 1348607 1452346 1659824 2697214 2904692 5394428 5809384 9440249 10788856 11618768 18880498 21577712 37760996 75521992 151043984