Search a number
-
+
151665990 = 23575912241
BaseRepresentation
bin10010000101000…
…11110101000110
3101120101102121220
421002203311012
5302311302430
623014421210
73521065620
oct1102436506
9346342556
10151665990
117867a9a3
1242961806
13255632b8
14161ddc10
15d4ad110
hex90a3d46

151665990 has 64 divisors (see below), whose sum is σ = 423083520. Its totient is φ = 34076160.

The previous prime is 151665989. The next prime is 151666063. The reversal of 151665990 is 99566151.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6270 + ... + 18510.

It is an arithmetic number, because the mean of its divisors is an integer number (6610680).

Almost surely, 2151665990 is an apocalyptic number.

151665990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151665990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211541760).

151665990 is an abundant number, since it is smaller than the sum of its proper divisors (271417530).

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

151665990 is a wasteful number, since it uses less digits than its factorization.

151665990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12317.

The product of its (nonzero) digits is 72900, while the sum is 42.

The square root of 151665990 is about 12315.2746619797. The cubic root of 151665990 is about 533.2891339239.

The spelling of 151665990 in words is "one hundred fifty-one million, six hundred sixty-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 590 826 885 1239 1770 2065 2478 4130 6195 12241 12390 24482 36723 61205 73446 85687 122410 171374 183615 257061 367230 428435 514122 722219 856870 1285305 1444438 2166657 2570610 3611095 4333314 5055533 7222190 10111066 10833285 15166599 21666570 25277665 30333198 50555330 75832995 151665990