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120670264 = 231113313337
BaseRepresentation
bin1110011000101…
…00100000111000
322102001200111001
413030110200320
5221342422024
615550214344
72663452231
oct714244070
9272050431
10120670264
116212a3a0
12344b43b4
131c000030
1412052088
15a8d9244
hex7314838

120670264 has 64 divisors (see below), whose sum is σ = 267452640. Its totient is φ = 50319360.

The previous prime is 120670243. The next prime is 120670271. The reversal of 120670264 is 462076021.

It is a super-2 number, since 2×1206702642 = 29122625227659392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357904 + ... + 358240.

Almost surely, 2120670264 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 120670264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133726320).

120670264 is an abundant number, since it is smaller than the sum of its proper divisors (146782376).

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

120670264 is a wasteful number, since it uses less digits than its factorization.

120670264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 120670264 is about 10985.0017751478. The cubic root of 120670264 is about 494.1590509945.

The spelling of 120670264 in words is "one hundred twenty million, six hundred seventy thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 313 337 572 626 674 1144 1252 1348 2504 2696 3443 3707 4069 4381 6886 7414 8138 8762 13772 14828 16276 17524 27544 29656 32552 35048 44759 48191 89518 96382 105481 179036 192764 210962 358072 385528 421924 843848 1160291 1371253 2320582 2742506 4641164 5485012 9282328 10970024 15083783 30167566 60335132 120670264