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153163104 = 25319131641
BaseRepresentation
bin10010010000100…
…01010101100000
3101200012111021120
421020101111200
5303202204404
623110452240
73536602443
oct1110212540
9350174246
10153163104
1179502786
1243364080
1325968873
14164ad65a
15d6a69d9
hex9211560

153163104 has 96 divisors (see below), whose sum is σ = 427109760. Its totient is φ = 47923200.

The previous prime is 153163103. The next prime is 153163111. The reversal of 153163104 is 401361351.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153163103) 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, 238624 + ... + 239264.

It is an arithmetic number, because the mean of its divisors is an integer number (4449060).

Almost surely, 2153163104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153163104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213554880).

153163104 is an abundant number, since it is smaller than the sum of its proper divisors (273946656).

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

153163104 is a wasteful number, since it uses less digits than its factorization.

153163104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 153163104 is about 12375.9082090972. The cubic root of 153163104 is about 535.0381129863.

The spelling of 153163104 in words is "one hundred fifty-three million, one hundred sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 131 152 228 262 304 393 456 524 608 641 786 912 1048 1282 1572 1824 1923 2096 2489 2564 3144 3846 4192 4978 5128 6288 7467 7692 9956 10256 12179 12576 14934 15384 19912 20512 24358 29868 30768 36537 39824 48716 59736 61536 73074 79648 83971 97432 119472 146148 167942 194864 238944 251913 292296 335884 389728 503826 584592 671768 1007652 1169184 1343536 1595449 2015304 2687072 3190898 4030608 4786347 6381796 8061216 9572694 12763592 19145388 25527184 38290776 51054368 76581552 153163104