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152117380 = 22541473947
BaseRepresentation
bin10010001000100…
…10000010000100
3101121020100211001
421010102002010
5302420224010
623032223044
73524655622
oct1104220204
9347210731
10152117380
1178959048
1242b3aa84
13256908ac
14162ba512
15d54bc3a
hex9112084

152117380 has 48 divisors (see below), whose sum is σ = 334285056. Its totient is φ = 58085120.

The previous prime is 152117369. The next prime is 152117387. The reversal of 152117380 is 83711251.

It is not an unprimeable number, because it can be changed into a prime (152117387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36567 + ... + 40513.

It is an arithmetic number, because the mean of its divisors is an integer number (6964272).

Almost surely, 2152117380 is an apocalyptic number.

152117380 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 152117380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167142528).

152117380 is an abundant number, since it is smaller than the sum of its proper divisors (182167676).

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

152117380 is a wasteful number, since it uses less digits than its factorization.

152117380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 152117380 is about 12333.5874748590. The cubic root of 152117380 is about 533.8176702682.

The spelling of 152117380 in words is "one hundred fifty-two million, one hundred seventeen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 41 47 82 94 164 188 205 235 410 470 820 940 1927 3854 3947 7708 7894 9635 15788 19270 19735 38540 39470 78940 161827 185509 323654 371018 647308 742036 809135 927545 1618270 1855090 3236540 3710180 7605869 15211738 30423476 38029345 76058690 152117380