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152253040 = 2455932257
BaseRepresentation
bin10010001001100…
…11001001110000
3101121111020220111
421010303021300
5302434044130
623035151104
73526062262
oct1104631160
9347436814
10152253040
1178a40a65
1242ba5494
132570a574
1416313b32
15d57702a
hex9133270

152253040 has 40 divisors (see below), whose sum is σ = 359999280. Its totient is φ = 59867136.

The previous prime is 152253019. The next prime is 152253083. The reversal of 152253040 is 40352251.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11409 + ... + 20848.

It is an arithmetic number, because the mean of its divisors is an integer number (8999982).

Almost surely, 2152253040 is an apocalyptic number.

152253040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152253040 is an abundant number, since it is smaller than the sum of its proper divisors (207746240).

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

152253040 is a wasteful number, since it uses less digits than its factorization.

152253040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32329 (or 32323 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 152253040 is about 12339.0858656547. The cubic root of 152253040 is about 533.9763113302.

The spelling of 152253040 in words is "one hundred fifty-two million, two hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 4720 32257 64514 129028 161285 258056 322570 516112 645140 1290280 1903163 2580560 3806326 7612652 9515815 15225304 19031630 30450608 38063260 76126520 152253040