Search a number
-
+
151549920 = 2533535081
BaseRepresentation
bin10010000100001…
…11011111100000
3101120011112102000
421002013133200
5302244044140
623012124000
73520103334
oct1102073740
9346145360
10151549920
1178600775
1242906600
1325522512
14161ad7c4
15d488a30
hex90877e0

151549920 has 96 divisors (see below), whose sum is σ = 530439840. Its totient is φ = 40412160.

The previous prime is 151549919. The next prime is 151549927. The reversal of 151549920 is 29945151.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151549927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13221 + ... + 21860.

It is an arithmetic number, because the mean of its divisors is an integer number (5525415).

Almost surely, 2151549920 is an apocalyptic number.

151549920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151549920 is an abundant number, since it is smaller than the sum of its proper divisors (378889920).

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

151549920 is a wasteful number, since it uses less digits than its factorization.

151549920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35105 (or 35091 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 151549920 is about 12310.5613194525. The cubic root of 151549920 is about 533.1530571258.

The spelling of 151549920 in words is "one hundred fifty-one million, five hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 35081 70162 105243 140324 175405 210486 280648 315729 350810 420972 526215 561296 631458 701620 841944 947187 1052430 1122592 1262916 1403240 1578645 1683888 1894374 2104860 2525832 2806480 3157290 3367776 3788748 4209720 4735935 5051664 5612960 6314580 7577496 8419440 9471870 10103328 12629160 15154992 16838880 18943740 25258320 30309984 37887480 50516640 75774960 151549920