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157406128 = 24111752609
BaseRepresentation
bin10010110000111…
…01001110110000
3101222012001121121
421120131032300
5310243444003
623341432024
73620633665
oct1130351660
9358161547
10157406128
1180940610
124486b614
13267c2c29
1416c95a6c
15dc43cbd
hex961d3b0

157406128 has 40 divisors (see below), whose sum is σ = 352276560. Its totient is φ = 67338240.

The previous prime is 157406027. The next prime is 157406143. The reversal of 157406128 is 821604751.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 157406093 and 157406102.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23313 + ... + 29296.

It is an arithmetic number, because the mean of its divisors is an integer number (8806914).

Almost surely, 2157406128 is an apocalyptic number.

It is an amenable number.

157406128 is an abundant number, since it is smaller than the sum of its proper divisors (194870432).

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

157406128 is a wasteful number, since it uses less digits than its factorization.

157406128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52645 (or 52639 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 157406128 is about 12546.1598905801. The cubic root of 157406128 is about 539.9338373442.

The spelling of 157406128 in words is "one hundred fifty-seven million, four hundred six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2992 52609 105218 210436 420872 578699 841744 894353 1157398 1788706 2314796 3577412 4629592 7154824 9259184 9837883 14309648 19675766 39351532 78703064 157406128