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145077696 = 2633591423
BaseRepresentation
bin10001010010110…
…11010111000000
3101002222201012000
420221123113000
5244114441241
622221304000
73411066021
oct1051332700
9332881160
10145077696
1174990025
1240705000
13240975ba
14153a6c48
15cb0aeb6
hex8a5b5c0

145077696 has 112 divisors (see below), whose sum is σ = 434035200. Its totient is φ = 47506176.

The previous prime is 145077689. The next prime is 145077697. The reversal of 145077696 is 696770541.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145077697) 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, 101241 + ... + 102663.

Almost surely, 2145077696 is an apocalyptic number.

145077696 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 145077696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217017600).

145077696 is an abundant number, since it is smaller than the sum of its proper divisors (288957504).

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

145077696 is a wasteful number, since it uses less digits than its factorization.

145077696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 145077696 is about 12044.8202975387. The cubic root of 145077696 is about 525.4526056123.

The spelling of 145077696 in words is "one hundred forty-five million, seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 144 177 192 216 236 288 354 432 472 531 576 708 864 944 1062 1416 1423 1593 1728 1888 2124 2832 2846 3186 3776 4248 4269 5664 5692 6372 8496 8538 11328 11384 12744 12807 16992 17076 22768 25488 25614 33984 34152 38421 45536 50976 51228 68304 76842 83957 91072 101952 102456 136608 153684 167914 204912 251871 273216 307368 335828 409824 503742 614736 671656 755613 819648 1007484 1229472 1343312 1511226 2014968 2266839 2458944 2686624 3022452 4029936 4533678 5373248 6044904 8059872 9067356 12089808 16119744 18134712 24179616 36269424 48359232 72538848 145077696