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152735340 = 223523910651
BaseRepresentation
bin10010001101010…
…00111001101100
3101122101202111110
421012220321230
5303100012330
623053352020
73533141352
oct1106507154
9348352443
10152735340
117924035a
1243198610
1325848c54
14163db7d2
15d61edb0
hex91a8e6c

152735340 has 48 divisors (see below), whose sum is σ = 429488640. Its totient is φ = 40555200.

The previous prime is 152735339. The next prime is 152735353. The reversal of 152735340 is 43537251.

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

It is a junction number, because it is equal to n+sod(n) for n = 152735298 and 152735307.

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, 9015 + ... + 19665.

It is an arithmetic number, because the mean of its divisors is an integer number (8947680).

Almost surely, 2152735340 is an apocalyptic number.

152735340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152735340 is an abundant number, since it is smaller than the sum of its proper divisors (276753300).

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

152735340 is a wasteful number, since it uses less digits than its factorization.

152735340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10902 (or 10900 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 152735340 is about 12358.6139999597. The cubic root of 152735340 is about 534.5395520049.

The spelling of 152735340 in words is "one hundred fifty-two million, seven hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 239 478 717 956 1195 1434 2390 2868 3585 4780 7170 10651 14340 21302 31953 42604 53255 63906 106510 127812 159765 213020 319530 639060 2545589 5091178 7636767 10182356 12727945 15273534 25455890 30547068 38183835 50911780 76367670 152735340