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120877316 = 2273194637
BaseRepresentation
bin1110011010001…
…11000100000100
322102110012111122
413031013010010
5221421033231
615554453112
72665304000
oct715070404
9272405448
10120877316
1162260a0a
1234594198
131c073351
14120a7700
15a92a77b
hex7347104

120877316 has 48 divisors (see below), whose sum is σ = 259728000. Its totient is φ = 49067424.

The previous prime is 120877301. The next prime is 120877381. The reversal of 120877316 is 613778021.

It is a super-2 number, since 2×1208773162 = 29222651046727712, which contains 22 as substring.

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, 23750 + ... + 28386.

It is an arithmetic number, because the mean of its divisors is an integer number (5411000).

Almost surely, 2120877316 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 120877316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129864000).

120877316 is an abundant number, since it is smaller than the sum of its proper divisors (138850684).

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

120877316 is a wasteful number, since it uses less digits than its factorization.

120877316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4681 (or 4665 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 120877316 is about 10994.4220402893. The cubic root of 120877316 is about 494.4415236662.

The spelling of 120877316 in words is "one hundred twenty million, eight hundred seventy-seven thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 343 532 686 931 1372 1862 3724 4637 6517 9274 13034 18548 26068 32459 64918 88103 129836 176206 227213 352412 454426 616721 908852 1233442 1590491 2466884 3180982 4317047 6361964 8634094 17268188 30219329 60438658 120877316