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145569696 = 25313910909
BaseRepresentation
bin10001010110100…
…11011110100000
3101010220201002020
420223103132200
5244231212241
622240021440
73415215306
oct1053233640
9333821066
10145569696
1175196738
1240901880
132420a51c
1415494276
15cba6b66
hex8ad37a0

145569696 has 48 divisors (see below), whose sum is σ = 384904800. Its totient is φ = 48169728.

The previous prime is 145569679. The next prime is 145569703. The reversal of 145569696 is 696965541.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7890 + ... + 18798.

It is an arithmetic number, because the mean of its divisors is an integer number (8018850).

Almost surely, 2145569696 is an apocalyptic number.

145569696 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 145569696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192452400).

145569696 is an abundant number, since it is smaller than the sum of its proper divisors (239335104).

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

145569696 is a wasteful number, since it uses less digits than its factorization.

145569696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11061 (or 11053 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 51.

The square root of 145569696 is about 12065.2267280810. The cubic root of 145569696 is about 526.0459221522.

The spelling of 145569696 in words is "one hundred forty-five million, five hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 3336 4448 6672 10909 13344 21818 32727 43636 65454 87272 130908 174544 261816 349088 523632 1047264 1516351 3032702 4549053 6065404 9098106 12130808 18196212 24261616 36392424 48523232 72784848 145569696