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145061600 = 25521791013
BaseRepresentation
bin10001010010101…
…11011011100000
3101002221220002212
420221113123200
5244113432400
622221101252
73411001055
oct1051273340
9332856085
10145061600
1174979a22
12406b7828
1324090188
14153a102c
15cb06335
hex8a576e0

145061600 has 72 divisors (see below), whose sum is σ = 356461560. Its totient is φ = 57643520.

The previous prime is 145061593. The next prime is 145061611. The reversal of 145061600 is 6160541.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 142694 + ... + 143706.

It is an arithmetic number, because the mean of its divisors is an integer number (4950855).

Almost surely, 2145061600 is an apocalyptic number.

145061600 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 145061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178230780).

145061600 is an abundant number, since it is smaller than the sum of its proper divisors (211399960).

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

145061600 is a wasteful number, since it uses less digits than its factorization.

145061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 145061600 is about 12044.1521079734. The cubic root of 145061600 is about 525.4331723518.

The spelling of 145061600 in words is "one hundred forty-five million, sixty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 179 200 358 400 716 800 895 1013 1432 1790 2026 2864 3580 4052 4475 5065 5728 7160 8104 8950 10130 14320 16208 17900 20260 25325 28640 32416 35800 40520 50650 71600 81040 101300 143200 162080 181327 202600 362654 405200 725308 810400 906635 1450616 1813270 2901232 3626540 4533175 5802464 7253080 9066350 14506160 18132700 29012320 36265400 72530800 145061600