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153240738 = 2373193919
BaseRepresentation
bin10010010001001…
…00010010100010
3101200100102202220
421020210102202
5303212200423
623112251510
73540345000
oct1110442242
9350312686
10153240738
1179556042
12433a0b96
1325994cc1
14164cda70
15d6be9e3
hex92244a2

153240738 has 64 divisors (see below), whose sum is σ = 376320000. Its totient is φ = 41468112.

The previous prime is 153240733. The next prime is 153240751. The reversal of 153240738 is 837042351.

It is a junction number, because it is equal to n+sod(n) for n = 153240699 and 153240708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153240733) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37143 + ... + 41061.

It is an arithmetic number, because the mean of its divisors is an integer number (5880000).

Almost surely, 2153240738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153240738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188160000).

153240738 is an abundant number, since it is smaller than the sum of its proper divisors (223079262).

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

153240738 is a wasteful number, since it uses less digits than its factorization.

153240738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 153240738 is about 12379.0443088310. The cubic root of 153240738 is about 535.1284962265.

The spelling of 153240738 in words is "one hundred fifty-three million, two hundred forty thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 343 399 686 798 931 1029 1862 2058 2793 3919 5586 6517 7838 11757 13034 19551 23514 27433 39102 54866 74461 82299 148922 164598 192031 223383 384062 446766 521227 576093 1042454 1152186 1344217 1563681 2688434 3127362 3648589 4032651 7297178 8065302 10945767 21891534 25540123 51080246 76620369 153240738