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148830864 = 24371322621
BaseRepresentation
bin10001101111011…
…11101010010000
3101101001101120020
420313233222100
5301100041424
622433543440
73455020140
oct1067575220
9341041506
10148830864
1177013916
1241a14b80
1324aaca00
1415aa2920
15d0ed079
hex8defa90

148830864 has 120 divisors (see below), whose sum is σ = 475987392. Its totient is φ = 39237120.

The previous prime is 148830859. The next prime is 148830881. The reversal of 148830864 is 468038841.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 55474 + ... + 58094.

Almost surely, 2148830864 is an apocalyptic number.

148830864 is a gapful number since it is divisible by the number (14) 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 148830864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237993696).

148830864 is an abundant number, since it is smaller than the sum of its proper divisors (327156528).

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

148830864 is a wasteful number, since it uses less digits than its factorization.

148830864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 148830864 is about 12199.6255680246. The cubic root of 148830864 is about 529.9452465094.

The spelling of 148830864 in words is "one hundred forty-eight million, eight hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 169 182 208 273 312 336 338 364 507 546 624 676 728 1014 1092 1183 1352 1456 2028 2184 2366 2621 2704 3549 4056 4368 4732 5242 7098 7863 8112 9464 10484 14196 15726 18347 18928 20968 28392 31452 34073 36694 41936 55041 56784 62904 68146 73388 102219 110082 125808 136292 146776 204438 220164 238511 272584 293552 408876 440328 442949 477022 545168 715533 817752 880656 885898 954044 1328847 1431066 1635504 1771796 1908088 2657694 2862132 3100643 3543592 3816176 5315388 5724264 6201286 7087184 9301929 10630776 11448528 12402572 18603858 21261552 24805144 37207716 49610288 74415432 148830864