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120132496 = 24112359503
BaseRepresentation
bin1110010100100…
…01001110010000
322101001100210201
413022101032100
5221223214441
615530504544
72656052341
oct712211620
9271040721
10120132496
11618a2360
1234295154
131bb72323
1411d520c8
15a82ec31
hex7291390

120132496 has 80 divisors (see below), whose sum is σ = 269982720. Its totient is φ = 51244160.

The previous prime is 120132491. The next prime is 120132499. The reversal of 120132496 is 694231021.

It is not an unprimeable number, because it can be changed into a prime (120132491) by changing a digit.

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, 238581 + ... + 239083.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2120132496 is an apocalyptic number.

120132496 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 120132496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

120132496 is an abundant number, since it is smaller than the sum of its proper divisors (149850224).

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

120132496 is a wasteful number, since it uses less digits than its factorization.

120132496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 120132496 is about 10960.4970690202. The cubic root of 120132496 is about 493.4238832246.

The spelling of 120132496 in words is "one hundred twenty million, one hundred thirty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 23 44 46 59 88 92 118 176 184 236 253 368 472 503 506 649 944 1006 1012 1298 1357 2012 2024 2596 2714 4024 4048 5192 5428 5533 8048 10384 10856 11066 11569 14927 21712 22132 23138 29677 29854 44264 46276 59354 59708 88528 92552 118708 119416 127259 185104 237416 238832 254518 326447 474832 509036 652894 682571 1018072 1305788 1365142 2036144 2611576 2730284 5223152 5460568 7508281 10921136 15016562 30033124 60066248 120132496