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153664000 = 295374
BaseRepresentation
bin10010010100010…
…11101000000000
3101201010221101021
421022023220000
5303314222000
623125315224
73544060000
oct1112135000
9351127337
10153664000
1179815046
1243565b14
1325ab2859
14165a0000
15d75511a
hex928ba00

153664000 has 200 divisors, whose sum is σ = 447005988. Its totient is φ = 52684800.

The previous prime is 153663973. The next prime is 153664033. The reversal of 153664000 is 466351.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 103876864 + 49787136 = 10192^2 + 7056^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1536640002 = 47225249792000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21951997 + ... + 21952003.

Almost surely, 2153664000 is an apocalyptic number.

153664000 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 153664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223502994).

153664000 is an abundant number, since it is smaller than the sum of its proper divisors (293341988).

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

153664000 is an frugal number, since it uses more digits than its factorization.

153664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 153664000 is about 12396.1284278600. The cubic root of 153664000 is about 535.6207311763.

It can be divided in two parts, 1536 and 64000, that added together give a 16-th power (65536 = 216).

The spelling of 153664000 in words is "one hundred fifty-three million, six hundred sixty-four thousand".