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152740560 = 2435790917
BaseRepresentation
bin10010001101010…
…10001011010000
3101122102000122210
421012222023100
5303100144220
623053432120
73533162520
oct1106521320
9348360583
10152740560
1179244275
124319b640
132584b43b
14163dd680
15d6216e0
hex91aa2d0

152740560 has 80 divisors (see below), whose sum is σ = 541143936. Its totient is φ = 34911744.

The previous prime is 152740559. The next prime is 152740561. The reversal of 152740560 is 65047251.

152740560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152740559) and next prime (152740561).

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

It is a super-2 number, since 2×1527405602 = 46659357338227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152740561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43779 + ... + 47138.

Almost surely, 2152740560 is an apocalyptic number.

152740560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152740560 is an abundant number, since it is smaller than the sum of its proper divisors (388403376).

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

152740560 is a wasteful number, since it uses less digits than its factorization.

152740560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90940 (or 90934 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 152740560 is about 12358.8251868857. The cubic root of 152740560 is about 534.5456415466.

The spelling of 152740560 in words is "one hundred fifty-two million, seven hundred forty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 90917 181834 272751 363668 454585 545502 636419 727336 909170 1091004 1272838 1363755 1454672 1818340 1909257 2182008 2545676 2727510 3182095 3636680 3818514 4364016 5091352 5455020 6364190 7273360 7637028 9546285 10182704 10910040 12728380 15274056 19092570 21820080 25456760 30548112 38185140 50913520 76370280 152740560