Search a number
-
+
151290990 = 23451710987
BaseRepresentation
bin10010000010010…
…00010001101110
3101112200101020000
421001020101232
5302212302430
623002405130
73514644414
oct1101102156
9345611200
10151290990
1178444184
12428007a6
13254616c6
14161432b4
15d436e60
hex904846e

151290990 has 80 divisors (see below), whose sum is σ = 430773552. Its totient is φ = 37967616.

The previous prime is 151290961. The next prime is 151291001. The reversal of 151290990 is 99092151.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8277 + ... + 19263.

Almost surely, 2151290990 is an apocalyptic number.

151290990 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 151290990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215386776).

151290990 is an abundant number, since it is smaller than the sum of its proper divisors (279482562).

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

151290990 is a wasteful number, since it uses less digits than its factorization.

151290990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11023 (or 11014 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 151290990 is about 12300.0402438366. The cubic root of 151290990 is about 532.8492452048.

The spelling of 151290990 in words is "one hundred fifty-one million, two hundred ninety thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 10987 13770 21974 32961 54935 65922 98883 109870 164805 186779 197766 296649 329610 373558 494415 560337 593298 889947 933895 988830 1120674 1483245 1681011 1779894 1867790 2801685 2966490 3362022 4449735 5043033 5603370 8405055 8899470 10086066 15129099 16810110 25215165 30258198 50430330 75645495 151290990