Search a number
-
+
153493704 = 233471319137
BaseRepresentation
bin10010010011000…
…10000011001000
3101200211021210000
421021202003020
5303243244304
623121523000
73542450340
oct1111420310
9350737700
10153493704
1179709101
12434a3460
1325a531a0
1416557d20
15d71e939
hex92620c8

153493704 has 320 divisors, whose sum is σ = 561052800. Its totient is φ = 38071296.

The previous prime is 153493699. The next prime is 153493759. The reversal of 153493704 is 407394351.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1120324 + ... + 1120460.

It is an arithmetic number, because the mean of its divisors is an integer number (1753290).

Almost surely, 2153493704 is an apocalyptic number.

153493704 is a gapful number since it is divisible by the number (14) 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 153493704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280526400).

153493704 is an abundant number, since it is smaller than the sum of its proper divisors (407559096).

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

153493704 is a wasteful number, since it uses less digits than its factorization.

153493704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 153493704 is about 12389.2576048769. The cubic root of 153493704 is about 535.4227932850.

The spelling of 153493704 in words is "one hundred fifty-three million, four hundred ninety-three thousand, seven hundred four".