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152534016 = 21035613
BaseRepresentation
bin10010001011101…
…11110000000000
3101122000112100000
421011313300000
5303022042031
623045200000
73531342405
oct1105676000
9348015300
10152534016
1179113078
1243100000
13257a841b
14163882ac
15d5d03e6
hex9177c00

152534016 has 132 divisors (see below), whose sum is σ = 457496312. Its totient is φ = 50761728.

The previous prime is 152533921. The next prime is 152534027. The reversal of 152534016 is 610435251.

152534016 is a `hidden beast` number, since 1 + 5 + 253 + 401 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248526 + ... + 249138.

Almost surely, 2152534016 is an apocalyptic number.

152534016 is a gapful number since it is divisible by the number (16) 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 152534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228748156).

152534016 is an abundant number, since it is smaller than the sum of its proper divisors (304962296).

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

152534016 is an frugal number, since it uses more digits than its factorization.

152534016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 152534016 is about 12350.4662260175. The cubic root of 152534016 is about 534.3045857358.

Adding to 152534016 its reverse (610435251), we get a palindrome (762969267).

The spelling of 152534016 in words is "one hundred fifty-two million, five hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 613 648 768 864 972 1024 1152 1226 1296 1536 1728 1839 1944 2304 2452 2592 3072 3456 3678 3888 4608 4904 5184 5517 6912 7356 7776 9216 9808 10368 11034 13824 14712 15552 16551 19616 20736 22068 27648 29424 31104 33102 39232 41472 44136 49653 58848 62208 66204 78464 82944 88272 99306 117696 124416 132408 148959 156928 176544 198612 235392 248832 264816 297918 313856 353088 397224 470784 529632 595836 627712 706176 794448 941568 1059264 1191672 1412352 1588896 1883136 2118528 2383344 2824704 3177792 4237056 4766688 5649408 6355584 8474112 9533376 12711168 16948224 19066752 25422336 38133504 50844672 76267008 152534016