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152299520 = 2115107139
BaseRepresentation
bin10010001001111…
…10100000000000
3101121120121122222
421010332200000
5302442041040
623040150212
73526344632
oct1104764000
9347517588
10152299520
1178a7297a
1243008368
1325725779
1416326a52
15d585bb5
hex913e800

152299520 has 96 divisors (see below), whose sum is σ = 371498400. Its totient is φ = 59916288.

The previous prime is 152299519. The next prime is 152299529. The reversal of 152299520 is 25992251.

It is not an unprimeable number, because it can be changed into a prime (152299529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1095611 + ... + 1095749.

It is an arithmetic number, because the mean of its divisors is an integer number (3869775).

Almost surely, 2152299520 is an apocalyptic number.

152299520 is a gapful number since it is divisible by the number (10) 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 152299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185749200).

152299520 is an abundant number, since it is smaller than the sum of its proper divisors (219198880).

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

152299520 is a wasteful number, since it uses less digits than its factorization.

152299520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 35.

The square root of 152299520 is about 12340.9691677761. The cubic root of 152299520 is about 534.0306434556.

The spelling of 152299520 in words is "one hundred fifty-two million, two hundred ninety-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 128 139 160 214 256 278 320 428 512 535 556 640 695 856 1024 1070 1112 1280 1390 1712 2048 2140 2224 2560 2780 3424 4280 4448 5120 5560 6848 8560 8896 10240 11120 13696 14873 17120 17792 22240 27392 29746 34240 35584 44480 54784 59492 68480 71168 74365 88960 109568 118984 136960 142336 148730 177920 219136 237968 273920 284672 297460 355840 475936 547840 594920 711680 951872 1095680 1189840 1423360 1903744 2379680 3807488 4759360 7614976 9518720 15229952 19037440 30459904 38074880 76149760 152299520