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151065640 = 235112911839
BaseRepresentation
bin10010000000100…
…01010000101000
3101112020221002201
421000101100220
5302133100030
622553505544
73513015415
oct1100212050
9345227081
10151065640
11782aa940
12427122b4
13253b2c6b
14160c510c
15d3e02ca
hex9011428

151065640 has 64 divisors (see below), whose sum is σ = 383616000. Its totient is φ = 53034240.

The previous prime is 151065623. The next prime is 151065643. The reversal of 151065640 is 46560151.

151065640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 151065599 and 151065608.

It is not an unprimeable number, because it can be changed into a prime (151065643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6841 + ... + 18679.

It is an arithmetic number, because the mean of its divisors is an integer number (5994000).

Almost surely, 2151065640 is an apocalyptic number.

151065640 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 151065640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191808000).

151065640 is an abundant number, since it is smaller than the sum of its proper divisors (232550360).

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

151065640 is a wasteful number, since it uses less digits than its factorization.

151065640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11890 (or 11886 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 151065640 is about 12290.8762909729. The cubic root of 151065640 is about 532.5845516588.

The spelling of 151065640 in words is "one hundred fifty-one million, sixty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 11839 12760 23678 47356 59195 94712 118390 130229 236780 260458 343331 473560 520916 651145 686662 1041832 1302290 1373324 1716655 2604580 2746648 3433310 3776641 5209160 6866620 7553282 13733240 15106564 18883205 30213128 37766410 75532820 151065640