Search a number
-
+
151085120 = 2651727773
BaseRepresentation
bin10010000000101…
…10000001000000
3101112021220211012
421000112001000
5302134210440
622554140052
73513126254
oct1100260100
9345256735
10151085120
117831353a
1242721628
13253bbaa4
14160cc264
15d3e5e65
hex9016040

151085120 has 56 divisors (see below), whose sum is σ = 380948184. Its totient is φ = 56877056.

The previous prime is 151085117. The next prime is 151085141. The reversal of 151085120 is 21580151.

It can be written as a sum of positive squares in 4 ways, for example, as 39740416 + 111344704 = 6304^2 + 10552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8447 + ... + 19326.

Almost surely, 2151085120 is an apocalyptic number.

151085120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151085120 is an abundant number, since it is smaller than the sum of its proper divisors (229863064).

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

151085120 is a wasteful number, since it uses less digits than its factorization.

151085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27807 (or 27797 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 23.

The square root of 151085120 is about 12291.6687231637. The cubic root of 151085120 is about 532.6074430349.

The spelling of 151085120 in words is "one hundred fifty-one million, eighty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 27773 55546 111092 138865 222184 277730 444368 472141 555460 888736 944282 1110920 1777472 1888564 2221840 2360705 3777128 4443680 4721410 7554256 8887360 9442820 15108512 18885640 30217024 37771280 75542560 151085120