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120899072 = 29726179
BaseRepresentation
bin1110011010011…
…00011000000000
322102111022100102
413031030120000
5221422232242
615555141532
72665424300
oct715143000
9272438312
10120899072
1162276298
12345a48a8
131c080218
14120b1600
15a931e32
hex734c600

120899072 has 120 divisors (see below), whose sum is σ = 289222560. Its totient is φ = 50319360.

The previous prime is 120899069. The next prime is 120899111. The reversal of 120899072 is 270998021.

It is a super-2 number, since 2×1208990722 = 29233171220922368, 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 11 ways as a sum of consecutive naturals, for example, 1530329 + ... + 1530407.

It is an arithmetic number, because the mean of its divisors is an integer number (2410188).

Almost surely, 2120899072 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 120899072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144611280).

120899072 is an abundant number, since it is smaller than the sum of its proper divisors (168323488).

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

120899072 is an frugal number, since it uses more digits than its factorization.

120899072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 120899072 is about 10995.4114065823. The cubic root of 120899072 is about 494.4711857645.

The spelling of 120899072 in words is "one hundred twenty million, eight hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 64 79 98 112 122 128 158 196 224 244 256 316 392 427 448 488 512 553 632 784 854 896 976 1106 1264 1568 1708 1792 1952 2212 2528 2989 3136 3416 3584 3871 3904 4424 4819 5056 5978 6272 6832 7742 7808 8848 9638 10112 11956 12544 13664 15484 15616 17696 19276 20224 23912 25088 27328 30968 31232 33733 35392 38552 40448 47824 54656 61936 67466 70784 77104 95648 109312 123872 134932 141568 154208 191296 218624 236131 247744 269864 283136 308416 382592 472262 495488 539728 616832 765184 944524 990976 1079456 1233664 1530368 1889048 1981952 2158912 2467328 3778096 4317824 7556192 8635648 15112384 17271296 30224768 60449536 120899072