Search a number
-
+
151054560 = 25325195521
BaseRepresentation
bin10010000000011…
…10100011100000
3101112020100220100
421000032203200
5302132221220
622553342400
73512641206
oct1100164340
9345210810
10151054560
11782a2588
1242707a00
13253aabc7
14160c1076
15d3dbd90
hex900e8e0

151054560 has 144 divisors (see below), whose sum is σ = 542702160. Its totient is φ = 38154240.

The previous prime is 151054543. The next prime is 151054601. The reversal of 151054560 is 65450151.

It is a happy number.

151054560 is a `hidden beast` number, since 1 + 51 + 0 + 54 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24600 + ... + 30120.

It is an arithmetic number, because the mean of its divisors is an integer number (3768765).

Almost surely, 2151054560 is an apocalyptic number.

151054560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151054560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271351080).

151054560 is an abundant number, since it is smaller than the sum of its proper divisors (391647600).

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

151054560 is a wasteful number, since it uses less digits than its factorization.

151054560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 151054560 is about 12290.4255418598. The cubic root of 151054560 is about 532.5715304293.

The spelling of 151054560 in words is "one hundred fifty-one million, fifty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 5521 6840 9120 11042 13680 16563 22084 27360 27605 33126 44168 49689 55210 66252 82815 88336 99378 104899 110420 132504 165630 176672 198756 209798 220840 248445 265008 314697 331260 397512 419596 441680 496890 524495 530016 629394 662520 795024 839192 883360 944091 993780 1048990 1258788 1325040 1573485 1590048 1678384 1888182 1987560 2097980 2517576 2650080 3146970 3356768 3776364 3975120 4195960 4720455 5035152 6293940 7552728 7950240 8391920 9440910 10070304 12587880 15105456 16783840 18881820 25175760 30210912 37763640 50351520 75527280 151054560