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148100796 = 2232291271117
BaseRepresentation
bin10001101001111…
…01011010111100
3101022200022002200
420310331122330
5300403211141
622410151500
73445556514
oct1064753274
9338608080
10148100796
1176665358
1241722590
13248b560c
1415952844
15d006ab6
hex8d3d6bc

148100796 has 72 divisors (see below), whose sum is σ = 390673920. Its totient is φ = 47246976.

The previous prime is 148100789. The next prime is 148100831. The reversal of 148100796 is 697001841.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 148100796.

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, 132030 + ... + 133146.

Almost surely, 2148100796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148100796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195336960).

148100796 is an abundant number, since it is smaller than the sum of its proper divisors (242573124).

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

148100796 is a wasteful number, since it uses less digits than its factorization.

148100796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1278 counting only the distinct ones).

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

The square root of 148100796 is about 12169.6670455687. The cubic root of 148100796 is about 529.0773028447.

The spelling of 148100796 in words is "one hundred forty-eight million, one hundred thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 127 174 254 261 348 381 508 522 762 1044 1117 1143 1524 2234 2286 3351 3683 4468 4572 6702 7366 10053 11049 13404 14732 20106 22098 32393 33147 40212 44196 64786 66294 97179 129572 132588 141859 194358 283718 291537 388716 425577 567436 583074 851154 1166148 1276731 1702308 2553462 4113911 5106924 8227822 12341733 16455644 24683466 37025199 49366932 74050398 148100796