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299907072 = 2113253307
BaseRepresentation
bin10001111000000…
…011100000000000
3202220022212011100
4101320003200000
51103234011242
645432014400
710301111433
oct2170034000
9686285140
10299907072
11144320693
1284531400
134a19770a
142bb8b81a
151b4e154c
hex11e03800

299907072 has 144 divisors (see below), whose sum is σ = 885404520. Its totient is φ = 97763328.

The previous prime is 299907061. The next prime is 299907079. The reversal of 299907072 is 270709992.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2999070722 = 179888503671226368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (299907079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 976743 + ... + 977049.

Almost surely, 2299907072 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 299907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442702260).

299907072 is an abundant number, since it is smaller than the sum of its proper divisors (585497448).

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

299907072 is a wasteful number, since it uses less digits than its factorization.

299907072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 299907072 is about 17317.8252676253. The cubic root of 299907072 is about 669.3638217604.

The spelling of 299907072 in words is "two hundred ninety-nine million, nine hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 307 318 384 424 477 512 576 614 636 768 848 921 954 1024 1152 1228 1272 1536 1696 1842 1908 2048 2304 2456 2544 2763 3072 3392 3684 3816 4608 4912 5088 5526 6144 6784 7368 7632 9216 9824 10176 11052 13568 14736 15264 16271 18432 19648 20352 22104 27136 29472 30528 32542 39296 40704 44208 48813 54272 58944 61056 65084 78592 81408 88416 97626 108544 117888 122112 130168 146439 157184 162816 176832 195252 235776 244224 260336 292878 314368 325632 353664 390504 471552 488448 520672 585756 628736 707328 781008 943104 976896 1041344 1171512 1414656 1562016 1886208 2082688 2343024 2829312 3124032 4165376 4686048 5658624 6248064 8330752 9372096 12496128 16661504 18744192 24992256 33323008 37488384 49984512 74976768 99969024 149953536 299907072