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152168880 = 2435837639
BaseRepresentation
bin10010001000111…
…10100110110000
3101121022222110110
421010132212300
5302423401010
623033301320
73525262023
oct1104364660
9347288413
10152168880
1178993806
1242b64840
13256ab176
14162d11ba
15d55c120
hex911e9b0

152168880 has 80 divisors (see below), whose sum is σ = 477469440. Its totient is φ = 40084224.

The previous prime is 152168867. The next prime is 152168881. The reversal of 152168880 is 88861251.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (152168881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16101 + ... + 23739.

It is an arithmetic number, because the mean of its divisors is an integer number (5968368).

Almost surely, 2152168880 is an apocalyptic number.

152168880 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 152168880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238734720).

152168880 is an abundant number, since it is smaller than the sum of its proper divisors (325300560).

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

152168880 is a wasteful number, since it uses less digits than its factorization.

152168880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7738 (or 7732 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The square root of 152168880 is about 12335.6750929975. The cubic root of 152168880 is about 533.8779055683.

The spelling of 152168880 in words is "one hundred fifty-two million, one hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 830 996 1245 1328 1660 1992 2490 3320 3984 4980 6640 7639 9960 15278 19920 22917 30556 38195 45834 61112 76390 91668 114585 122224 152780 183336 229170 305560 366672 458340 611120 634037 916680 1268074 1833360 1902111 2536148 3170185 3804222 5072296 6340370 7608444 9510555 10144592 12680740 15216888 19021110 25361480 30433776 38042220 50722960 76084440 152168880