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152156880 = 243652609
BaseRepresentation
bin10010001000110…
…11101011010000
3101121022101000000
421010123223100
5302423010010
623033130000
73525212031
oct1104335320
9347271000
10152156880
1178985797
1242b59900
13256a5875
14162caa88
15d5587c0
hex911bad0

152156880 has 140 divisors (see below), whose sum is σ = 530607780. Its totient is φ = 40559616.

The previous prime is 152156843. The next prime is 152156887. The reversal of 152156880 is 88651251.

152156880 is a `hidden beast` number, since 1 + 521 + 56 + 8 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63872064 + 88284816 = 7992^2 + 9396^2 .

It is a super-2 number, since 2×1521568802 = 46303432262668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152156887) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 57016 + ... + 59624.

Almost surely, 2152156880 is an apocalyptic number.

152156880 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 152156880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265303890).

152156880 is an abundant number, since it is smaller than the sum of its proper divisors (378450900).

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

152156880 is an equidigital number, since it uses as much as digits as its factorization.

152156880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 152156880 is about 12335.1886892743. The cubic root of 152156880 is about 533.8638713732.

The spelling of 152156880 in words is "one hundred fifty-two million, one hundred fifty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2609 2916 3240 3645 3888 4860 5218 5832 6480 7290 7827 9720 10436 11664 13045 14580 15654 19440 20872 23481 26090 29160 31308 39135 41744 46962 52180 58320 62616 70443 78270 93924 104360 117405 125232 140886 156540 187848 208720 211329 234810 281772 313080 352215 375696 422658 469620 563544 626160 633987 704430 845316 939240 1056645 1127088 1267974 1408860 1690632 1878480 1901961 2113290 2535948 2817720 3169935 3381264 3803922 4226580 5071896 5635440 6339870 7607844 8453160 9509805 10143792 12679740 15215688 16906320 19019610 25359480 30431376 38039220 50718960 76078440 152156880