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120091552 = 25721929139
BaseRepresentation
bin1110010100001…
…11001110100000
322100222021122021
413022013032200
5221220412202
615525551224
72655522100
oct712071640
9270867567
10120091552
1161874619
1234275514
131bb597b9
1411d41200
15a822a37
hex72873a0

120091552 has 144 divisors (see below), whose sum is σ = 301644000. Its totient is φ = 46738944.

The previous prime is 120091483. The next prime is 120091567. The reversal of 120091552 is 255190021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 863899 + ... + 864037.

It is an arithmetic number, because the mean of its divisors is an integer number (2094750).

Almost surely, 2120091552 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 120091552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150822000).

120091552 is an abundant number, since it is smaller than the sum of its proper divisors (181552448).

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

120091552 is a wasteful number, since it uses less digits than its factorization.

120091552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 120091552 is about 10958.6291113442. The cubic root of 120091552 is about 493.3678200062.

The spelling of 120091552 in words is "one hundred twenty million, ninety-one thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 29 32 38 49 56 58 76 98 112 116 133 139 152 196 203 224 232 266 278 304 392 406 464 532 551 556 608 784 812 928 931 973 1064 1102 1112 1421 1568 1624 1862 1946 2128 2204 2224 2641 2842 3248 3724 3857 3892 4031 4256 4408 4448 5282 5684 6496 6811 7448 7714 7784 8062 8816 10564 11368 13622 14896 15428 15568 16124 17632 18487 21128 22736 26999 27244 28217 29792 30856 31136 32248 36974 42256 45472 53998 54488 56434 61712 64496 73948 76589 84512 107996 108976 112868 123424 128992 129409 147896 153178 197519 215992 217952 225736 258818 295792 306356 395038 431984 451472 517636 536123 591584 612712 790076 863968 902944 1035272 1072246 1225424 1580152 2070544 2144492 2450848 3160304 3752861 4141088 4288984 6320608 7505722 8577968 15011444 17155936 30022888 60045776 120091552