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120064868 = 22711457853
BaseRepresentation
bin1110010100000…
…00101101100100
322100220221000222
413022000231210
5221214033433
615525223512
72655351230
oct712005544
9270827028
10120064868
1161856570
1234261b98
131bb4a601
1411d355c0
15a819b98
hex7280b64

120064868 has 48 divisors (see below), whose sum is σ = 262840704. Its totient is φ = 46621440.

The previous prime is 120064849. The next prime is 120064877. The reversal of 120064868 is 868460021.

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, 140330 + ... + 141182.

It is an arithmetic number, because the mean of its divisors is an integer number (5475848).

Almost surely, 2120064868 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 120064868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131420352).

120064868 is an abundant number, since it is smaller than the sum of its proper divisors (142775836).

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

120064868 is a wasteful number, since it uses less digits than its factorization.

120064868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 120064868 is about 10957.4115556549. The cubic root of 120064868 is about 493.3312756590.

The spelling of 120064868 in words is "one hundred twenty million, sixty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 457 853 914 1706 1828 3199 3412 5027 5971 6398 9383 10054 11942 12796 18766 20108 23884 35189 37532 65681 70378 131362 140756 262724 389821 779642 1559284 2728747 4288031 5457494 8576062 10914988 17152124 30016217 60032434 120064868