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152840380 = 225711611627
BaseRepresentation
bin10010001110000…
…10100010111100
3101122121002120211
421013002202330
5303111343010
623055522204
73534056530
oct1107024274
9348532524
10152840380
1179302270
1243229364
13258849c4
1416427bc0
15d64108a
hex91c28bc

152840380 has 96 divisors (see below), whose sum is σ = 406973952. Its totient is φ = 46828800.

The previous prime is 152840339. The next prime is 152840383. The reversal of 152840380 is 83048251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152840383) 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, 93127 + ... + 94753.

It is an arithmetic number, because the mean of its divisors is an integer number (4239312).

Almost surely, 2152840380 is an apocalyptic number.

152840380 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 152840380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203486976).

152840380 is an abundant number, since it is smaller than the sum of its proper divisors (254133572).

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

152840380 is a wasteful number, since it uses less digits than its factorization.

152840380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 152840380 is about 12362.8629370385. The cubic root of 152840380 is about 534.6620627654.

The spelling of 152840380 in words is "one hundred fifty-two million, eight hundred forty thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 61 70 77 110 122 140 154 220 244 305 308 385 427 610 671 770 854 1220 1342 1540 1627 1708 2135 2684 3254 3355 4270 4697 6508 6710 8135 8540 9394 11389 13420 16270 17897 18788 22778 23485 32540 35794 45556 46970 56945 71588 89485 93940 99247 113890 125279 178970 198494 227780 250558 357940 396988 496235 501116 626395 694729 992470 1091717 1252790 1389458 1984940 2183434 2505580 2778916 3473645 4366868 5458585 6947290 7642019 10917170 13894580 15284038 21834340 30568076 38210095 76420190 152840380