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148972680 = 233254110093
BaseRepresentation
bin10001110000100…
…10010010001000
3101101022121002200
420320102102020
5301114111210
622441000200
73456150453
oct1070222210
9341277080
10148972680
117710041a
1241a83060
1324b2c41c
1415adc49a
15d12a0c0
hex8e12488

148972680 has 96 divisors (see below), whose sum is σ = 496019160. Its totient is φ = 38753280.

The previous prime is 148972631. The next prime is 148972687. The reversal of 148972680 is 86279841.

It can be written as a sum of positive squares in 4 ways, for example, as 81108036 + 67864644 = 9006^2 + 8238^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (148972687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9714 + ... + 19806.

Almost surely, 2148972680 is an apocalyptic number.

148972680 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 148972680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248009580).

148972680 is an abundant number, since it is smaller than the sum of its proper divisors (347046480).

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

148972680 is a wasteful number, since it uses less digits than its factorization.

148972680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10151 (or 10144 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 148972680 is about 12205.4364936286. The cubic root of 148972680 is about 530.1135154980.

The spelling of 148972680 in words is "one hundred forty-eight million, nine hundred seventy-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 10093 14760 20186 30279 40372 50465 60558 80744 90837 100930 121116 151395 181674 201860 242232 302790 363348 403720 413813 454185 605580 726696 827626 908370 1211160 1241439 1655252 1816740 2069065 2482878 3310504 3633480 3724317 4138130 4965756 6207195 7448634 8276260 9931512 12414390 14897268 16552520 18621585 24828780 29794536 37243170 49657560 74486340 148972680