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157485680 = 24511199419
BaseRepresentation
bin10010110001100…
…00101001110000
3101222100002201222
421120300221300
5310304020210
623343244212
73621414632
oct1130605160
9358302658
10157485680
1180995360
12448a9668
13268201c1
1416cb6a52
15dc5c655
hex9630a70

157485680 has 80 divisors (see below), whose sum is σ = 420508800. Its totient is φ = 54247680.

The previous prime is 157485667. The next prime is 157485697. The reversal of 157485680 is 86584751.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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, 12011 + ... + 21429.

It is an arithmetic number, because the mean of its divisors is an integer number (5256360).

Almost surely, 2157485680 is an apocalyptic number.

157485680 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 157485680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210254400).

157485680 is an abundant number, since it is smaller than the sum of its proper divisors (263023120).

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

157485680 is a wasteful number, since it uses less digits than its factorization.

157485680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9462 (or 9456 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 44.

The square root of 157485680 is about 12549.3298625863. The cubic root of 157485680 is about 540.0247816702.

The spelling of 157485680 in words is "one hundred fifty-seven million, four hundred eighty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 9419 16720 18838 37676 47095 75352 94190 103609 150704 178961 188380 207218 357922 376760 414436 518045 715844 753520 828872 894805 1036090 1431688 1657744 1789610 1968571 2072180 2863376 3579220 3937142 4144360 7158440 7874284 8288720 9842855 14316880 15748568 19685710 31497136 39371420 78742840 157485680