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145669608 = 23327389743
BaseRepresentation
bin10001010111010…
…11110111101000
3101011002210010200
420223223313220
5244242411413
622242112200
73416112510
oct1053536750
9334083120
10145669608
1175254807
124094b660
1324243b46
14154bc840
15cbc6573
hex8aebde8

145669608 has 96 divisors (see below), whose sum is σ = 452649600. Its totient is φ = 41457024.

The previous prime is 145669571. The next prime is 145669609. The reversal of 145669608 is 806966541.

It is not an unprimeable number, because it can be changed into a prime (145669609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195685 + ... + 196427.

It is an arithmetic number, because the mean of its divisors is an integer number (4715100).

Almost surely, 2145669608 is an apocalyptic number.

145669608 is a gapful number since it is divisible by the number (18) 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 145669608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226324800).

145669608 is an abundant number, since it is smaller than the sum of its proper divisors (306979992).

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

145669608 is a wasteful number, since it uses less digits than its factorization.

145669608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 145669608 is about 12069.3665119591. The cubic root of 145669608 is about 526.1662454560.

The spelling of 145669608 in words is "one hundred forty-five million, six hundred sixty-nine thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 389 504 743 778 1167 1486 1556 2229 2334 2723 2972 3112 3501 4458 4668 5201 5446 5944 6687 7002 8169 8916 9336 10402 10892 13374 14004 15603 16338 17832 20804 21784 24507 26748 28008 31206 32676 41608 46809 49014 53496 62412 65352 93618 98028 124824 187236 196056 289027 374472 578054 867081 1156108 1734162 2023189 2312216 2601243 3468324 4046378 5202486 6069567 6936648 8092756 10404972 12139134 16185512 18208701 20809944 24278268 36417402 48556536 72834804 145669608