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157719380 = 225713194561
BaseRepresentation
bin10010110011010…
…01101101010100
3101222202222022112
421121221231110
5310334010010
623352250152
73623410160
oct1131515524
9358688275
10157719380
11810349a5
12449a0958
13268a26a0
1416d37ca0
15dca6a05
hex9669b54

157719380 has 96 divisors (see below), whose sum is σ = 429192960. Its totient is φ = 47278080.

The previous prime is 157719311. The next prime is 157719389. The reversal of 157719380 is 83917751.

157719380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1577193803 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157719389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32300 + ... + 36860.

It is an arithmetic number, because the mean of its divisors is an integer number (4470760).

Almost surely, 2157719380 is an apocalyptic number.

157719380 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 157719380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214596480).

157719380 is an abundant number, since it is smaller than the sum of its proper divisors (271473580).

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

157719380 is a wasteful number, since it uses less digits than its factorization.

157719380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4609 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 41.

The square root of 157719380 is about 12558.6376649699. The cubic root of 157719380 is about 540.2917719058.

The spelling of 157719380 in words is "one hundred fifty-seven million, seven hundred nineteen thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 52 65 70 76 91 95 130 133 140 182 190 247 260 266 364 380 455 494 532 665 910 988 1235 1330 1729 1820 2470 2660 3458 4561 4940 6916 8645 9122 17290 18244 22805 31927 34580 45610 59293 63854 86659 91220 118586 127708 159635 173318 237172 296465 319270 346636 415051 433295 592930 606613 638540 830102 866590 1126567 1185860 1213226 1660204 1733180 2075255 2253134 2426452 3033065 4150510 4506268 5632835 6066130 7885969 8301020 11265670 12132260 15771938 22531340 31543876 39429845 78859690 157719380