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153345520 = 24511316963
BaseRepresentation
bin10010010001111…
…01110111110000
3101200112202111201
421020331313300
5303224024040
623114420544
73541262326
oct1110756760
9350482451
10153345520
1179617839
1243431754
1325a008c3
1416519d16
15d6e0a9a
hex923ddf0

153345520 has 40 divisors (see below), whose sum is σ = 359704656. Its totient is φ = 60791808.

The previous prime is 153345509. The next prime is 153345529. The reversal of 153345520 is 25543351.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153345529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 559 + ... + 17521.

Almost surely, 2153345520 is an apocalyptic number.

153345520 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 153345520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179852328).

153345520 is an abundant number, since it is smaller than the sum of its proper divisors (206359136).

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

153345520 is a wasteful number, since it uses less digits than its factorization.

153345520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17089 (or 17083 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 153345520 is about 12383.2758186192. The cubic root of 153345520 is about 535.2504373837.

Adding to 153345520 its reverse (25543351), we get a palindrome (178888871).

The spelling of 153345520 in words is "one hundred fifty-three million, three hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 16963 33926 67852 84815 135704 169630 271408 339260 678520 1357040 1916819 3833638 7667276 9584095 15334552 19168190 30669104 38336380 76672760 153345520