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30157296 = 24313311559
BaseRepresentation
bin111001100001…
…0100111110000
32002202011000220
41303002213300
530210013141
62554213040
7514222101
oct163024760
962664026
1030157296
1116028694
12a124180
13632b770
1440103a8
1529aa766
hex1cc29f0

30157296 has 80 divisors (see below), whose sum is σ = 86661120. Its totient is φ = 8974080.

The previous prime is 30157291. The next prime is 30157297. The reversal of 30157296 is 69275103.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30157291) 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, 18565 + ... + 20123.

It is an arithmetic number, because the mean of its divisors is an integer number (1083264).

Almost surely, 230157296 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 30157296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43330560).

30157296 is an abundant number, since it is smaller than the sum of its proper divisors (56503824).

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

30157296 is a wasteful number, since it uses less digits than its factorization.

30157296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 30157296 is about 5491.5658969004. The cubic root of 30157296 is about 311.2653656065.

The spelling of 30157296 in words is "thirty million, one hundred fifty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1559 1612 2418 3118 3224 4677 4836 6236 6448 9354 9672 12472 18708 19344 20267 24944 37416 40534 48329 60801 74832 81068 96658 121602 144987 162136 193316 243204 289974 324272 386632 486408 579948 628277 773264 972816 1159896 1256554 1884831 2319792 2513108 3769662 5026216 7539324 10052432 15078648 30157296