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152980440 = 23351737369
BaseRepresentation
bin10010001111001…
…00101111011000
3101122212012201020
421013210233120
5303130333230
623102522440
73535212054
oct1107445730
9348765636
10152980440
1179398518
1243296420
1325903692
1416462c64
15d66c810
hex91e4bd8

152980440 has 64 divisors (see below), whose sum is σ = 461656800. Its totient is φ = 40553472.

The previous prime is 152980439. The next prime is 152980447. The reversal of 152980440 is 44089251.

152980440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152980447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17076 + ... + 24444.

Almost surely, 2152980440 is an apocalyptic number.

152980440 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 152980440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230828400).

152980440 is an abundant number, since it is smaller than the sum of its proper divisors (308676360).

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

152980440 is a wasteful number, since it uses less digits than its factorization.

152980440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7556 (or 7552 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 152980440 is about 12368.5261854434. The cubic root of 152980440 is about 534.8253309319.

The spelling of 152980440 in words is "one hundred fifty-two million, nine hundred eighty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 519 692 865 1038 1384 1730 2076 2595 3460 4152 5190 6920 7369 10380 14738 20760 22107 29476 36845 44214 58952 73690 88428 110535 147380 176856 221070 294760 442140 884280 1274837 2549674 3824511 5099348 6374185 7649022 10198696 12748370 15298044 19122555 25496740 30596088 38245110 50993480 76490220 152980440