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148970016 = 2534134421
BaseRepresentation
bin10001110000100…
…01101000100000
3101101022110110000
420320101220200
5301114020031
622440540000
73456136626
oct1070215040
9341273400
10148970016
11770a9418
1241a81600
1324b2b150
1415adb516
15d1293e6
hex8e11a20

148970016 has 120 divisors (see below), whose sum is σ = 471924684. Its totient is φ = 45826560.

The previous prime is 148969993. The next prime is 148970023. The reversal of 148970016 is 610079841.

It can be written as a sum of positive squares in 2 ways, for example, as 148937616 + 32400 = 12204^2 + 180^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31486 + ... + 35906.

Almost surely, 2148970016 is an apocalyptic number.

148970016 is a gapful number since it is divisible by the number (16) 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 148970016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235962342).

148970016 is an abundant number, since it is smaller than the sum of its proper divisors (322954668).

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

148970016 is a wasteful number, since it uses less digits than its factorization.

148970016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 148970016 is about 12205.3273614434. The cubic root of 148970016 is about 530.1103555655.

The spelling of 148970016 in words is "one hundred forty-eight million, nine hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 4421 5616 8424 8842 11232 13263 16848 17684 26526 33696 35368 39789 53052 57473 70736 79578 106104 114946 119367 141472 159156 172419 212208 229892 238734 318312 344838 358101 424416 459784 477468 517257 636624 689676 716202 919568 954936 1034514 1273248 1379352 1432404 1551771 1839136 1909872 2069028 2758704 2864808 3103542 3819744 4138056 4655313 5517408 5729616 6207084 8276112 9310626 11459232 12414168 16552224 18621252 24828336 37242504 49656672 74485008 148970016