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152160240 = 24354311471
BaseRepresentation
bin10010001000111…
…00011111110000
3101121022112121110
421010130133300
5302423111430
623033153320
73525224601
oct1104343760
9347275543
10152160240
1178988271
1242b5b840
13256a725b
14162cbda8
15d5597b0
hex911c7f0

152160240 has 80 divisors (see below), whose sum is σ = 473112576. Its totient is φ = 40454400.

The previous prime is 152160223. The next prime is 152160287. The reversal of 152160240 is 42061251.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102705 + ... + 104175.

Almost surely, 2152160240 is an apocalyptic number.

152160240 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 152160240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236556288).

152160240 is an abundant number, since it is smaller than the sum of its proper divisors (320952336).

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

152160240 is a wasteful number, since it uses less digits than its factorization.

152160240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 152160240 is about 12335.3248842501. The cubic root of 152160240 is about 533.8678010222.

The spelling of 152160240 in words is "one hundred fifty-two million, one hundred sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 431 862 1293 1471 1724 2155 2586 2942 3448 4310 4413 5172 5884 6465 6896 7355 8620 8826 10344 11768 12930 14710 17240 17652 20688 22065 23536 25860 29420 34480 35304 44130 51720 58840 70608 88260 103440 117680 176520 353040 634001 1268002 1902003 2536004 3170005 3804006 5072008 6340010 7608012 9510015 10144016 12680020 15216024 19020030 25360040 30432048 38040060 50720080 76080120 152160240