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120416406 = 231117107323
BaseRepresentation
bin1110010110101…
…10100010010110
322101120210020220
413023112202112
5221311311111
615540535210
72661344145
oct713264226
9271523226
10120416406
1161a766a0
12343b1506
131bc41616
1411dc775c
15a888e06
hex72d6896

120416406 has 32 divisors (see below), whose sum is σ = 278183808. Its totient is φ = 34343040.

The previous prime is 120416399. The next prime is 120416437. The reversal of 120416406 is 604614021.

It is a super-2 number, since 2×1204164062 = 29000221667913672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52540 + ... + 54783.

It is an arithmetic number, because the mean of its divisors is an integer number (8693244).

Almost surely, 2120416406 is an apocalyptic number.

120416406 is an abundant number, since it is smaller than the sum of its proper divisors (157767402).

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

120416406 is a wasteful number, since it uses less digits than its factorization.

120416406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107356.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 120416406 is about 10973.4409370990. The cubic root of 120416406 is about 493.8122814988.

The spelling of 120416406 in words is "one hundred twenty million, four hundred sixteen thousand, four hundred six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 107323 214646 321969 643938 1180553 1824491 2361106 3541659 3648982 5473473 7083318 10946946 20069401 40138802 60208203 120416406