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151080552 = 23347191753
BaseRepresentation
bin10010000000101…
…00111001101000
3101112021200120000
421000110321220
5302134034202
622554103000
73513110040
oct1100247150
9345250500
10151080552
1178310067
124271aa60
13253b999c
14160ca720
15d3e491c
hex9014e68

151080552 has 160 divisors (see below), whose sum is σ = 509361600. Its totient is φ = 40870656.

The previous prime is 151080551. The next prime is 151080557. The reversal of 151080552 is 255080151.

151080552 is a `hidden beast` number, since 1 + 5 + 108 + 0 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (151080551) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85308 + ... + 87060.

It is an arithmetic number, because the mean of its divisors is an integer number (3183510).

Almost surely, 2151080552 is an apocalyptic number.

151080552 is a gapful number since it is divisible by the number (12) 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 151080552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254680800).

151080552 is an abundant number, since it is smaller than the sum of its proper divisors (358281048).

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

151080552 is a wasteful number, since it uses less digits than its factorization.

151080552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 151080552 is about 12291.4829048411. The cubic root of 151080552 is about 532.6020752543.

The spelling of 151080552 in words is "one hundred fifty-one million, eighty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 378 399 456 504 513 532 567 648 684 756 798 1026 1064 1134 1197 1368 1512 1539 1596 1753 2052 2268 2394 3078 3192 3506 3591 4104 4536 4788 5259 6156 7012 7182 9576 10518 10773 12271 12312 14024 14364 15777 21036 21546 24542 28728 31554 33307 36813 42072 43092 47331 49084 63108 66614 73626 86184 94662 98168 99921 110439 126216 133228 141993 147252 189324 199842 220878 233149 266456 283986 294504 299763 331317 378648 399684 441756 466298 567972 599526 662634 699447 799368 883512 899289 932596 993951 1135944 1199052 1325268 1398894 1798578 1865192 1987902 2098341 2398104 2650536 2697867 2797788 3597156 3975804 4196682 5395734 5595576 6295023 7194312 7951608 8393364 10791468 12590046 16786728 18885069 21582936 25180092 37770138 50360184 75540276 151080552