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120628704 = 2537732459
BaseRepresentation
bin1110011000010…
…10010111100000
322101222120110210
413030022113200
5221340104304
615545254120
72663220120
oct714122740
9271876423
10120628704
1162101149
1234494340
131bcb7141
1412040c80
15a8cbc89
hex730a5e0

120628704 has 96 divisors (see below), whose sum is σ = 366992640. Its totient is φ = 33979392.

The previous prime is 120628699. The next prime is 120628723. The reversal of 120628704 is 407826021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47827 + ... + 50285.

It is an arithmetic number, because the mean of its divisors is an integer number (3822840).

Almost surely, 2120628704 is an apocalyptic number.

120628704 is a gapful number since it is divisible by the number (14) 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 120628704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183496320).

120628704 is an abundant number, since it is smaller than the sum of its proper divisors (246363936).

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

120628704 is a wasteful number, since it uses less digits than its factorization.

120628704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 120628704 is about 10983.1099420884. The cubic root of 120628704 is about 494.1023134364.

The spelling of 120628704 in words is "one hundred twenty million, six hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 224 292 336 438 511 584 672 876 1022 1168 1533 1752 2044 2336 2459 3066 3504 4088 4918 6132 7008 7377 8176 9836 12264 14754 16352 17213 19672 24528 29508 34426 39344 49056 51639 59016 68852 78688 103278 118032 137704 179507 206556 236064 275408 359014 413112 538521 550816 718028 826224 1077042 1256549 1436056 1652448 2154084 2513098 2872112 3769647 4308168 5026196 5744224 7539294 8616336 10052392 15078588 17232672 20104784 30157176 40209568 60314352 120628704