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120196736 = 2711194493
BaseRepresentation
bin1110010101000…
…00111010000000
322101011121220222
413022200322000
5221232243421
615532122212
72656440542
oct712407200
9271147828
10120196736
1161936650
1234306368
131bb9563a
1411d6b692
15a843cab
hex72a0e80

120196736 has 64 divisors (see below), whose sum is σ = 275032800. Its totient is φ = 51747840.

The previous prime is 120196729. The next prime is 120196751. The reversal of 120196736 is 637691021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 120196696 and 120196705.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24506 + ... + 28998.

Almost surely, 2120196736 is an apocalyptic number.

120196736 is a gapful number since it is divisible by the number (16) 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 120196736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137516400).

120196736 is an abundant number, since it is smaller than the sum of its proper divisors (154836064).

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

120196736 is a wasteful number, since it uses less digits than its factorization.

120196736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4537 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 120196736 is about 10963.4272013819. The cubic root of 120196736 is about 493.5118191925.

The spelling of 120196736 in words is "one hundred twenty million, one hundred ninety-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 418 608 704 836 1216 1408 1672 2432 3344 4493 6688 8986 13376 17972 26752 35944 49423 71888 85367 98846 143776 170734 197692 287552 341468 395384 575104 682936 790768 939037 1365872 1581536 1878074 2731744 3163072 3756148 5463488 6326144 7512296 10926976 15024592 30049184 60098368 120196736