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157380750 = 23253113619
BaseRepresentation
bin10010110000101…
…11000010001110
3101222010202210200
421120113002032
5310242141000
623341114330
73620500002
oct1130270216
9358122720
10157380750
118092353a
12448589a6
13267b4507
1416c8a702
15dc3b500
hex961708e

157380750 has 96 divisors (see below), whose sum is σ = 430017120. Its totient is φ = 41529600.

The previous prime is 157380737. The next prime is 157380757. The reversal of 157380750 is 57083751.

157380750 is a `hidden beast` number, since 1 + 573 + 80 + 7 + 5 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157380757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253941 + ... + 254559.

It is an arithmetic number, because the mean of its divisors is an integer number (4479345).

Almost surely, 2157380750 is an apocalyptic number.

157380750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157380750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215008560).

157380750 is an abundant number, since it is smaller than the sum of its proper divisors (272636370).

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

157380750 is a wasteful number, since it uses less digits than its factorization.

157380750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 157380750 is about 12545.1484646456. The cubic root of 157380750 is about 539.9048186151.

The spelling of 157380750 in words is "one hundred fifty-seven million, three hundred eighty thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 113 125 150 225 226 250 339 375 450 565 619 678 750 1017 1125 1130 1238 1695 1857 2034 2250 2825 3095 3390 3714 5085 5571 5650 6190 8475 9285 10170 11142 14125 15475 16950 18570 25425 27855 28250 30950 42375 46425 50850 55710 69947 77375 84750 92850 127125 139275 139894 154750 209841 232125 254250 278550 349735 419682 464250 629523 696375 699470 1049205 1259046 1392750 1748675 2098410 3147615 3497350 5246025 6295230 8743375 10492050 15738075 17486750 26230125 31476150 52460250 78690375 157380750