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120634052 = 227113591091
BaseRepresentation
bin1110011000010…
…11101011000100
322101222211210212
413030023223010
5221340242202
615545334552
72663241530
oct714135304
9271884725
10120634052
1162105170
1234497458
131bcb96c6
1412042bc0
15a8cd652
hex730bac4

120634052 has 48 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 46826400.

The previous prime is 120634043. The next prime is 120634061. The reversal of 120634052 is 250436021.

It is an interprime number because it is at equal distance from previous prime (120634043) and next prime (120634061).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110027 + ... + 111117.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2120634052 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 120634052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

120634052 is an abundant number, since it is smaller than the sum of its proper divisors (143542588).

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

120634052 is a wasteful number, since it uses less digits than its factorization.

120634052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 120634052 is about 10983.3534041294. The cubic root of 120634052 is about 494.1096152367.

The spelling of 120634052 in words is "one hundred twenty million, six hundred thirty-four thousand, fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 359 718 1091 1436 2182 2513 3949 4364 5026 7637 7898 10052 12001 15274 15796 24002 27643 30548 48004 55286 84007 110572 168014 336028 391669 783338 1566676 2741683 4308359 5483366 8616718 10966732 17233436 30158513 60317026 120634052