Search a number
-
+
157296720 = 2435793629
BaseRepresentation
bin10010110000000…
…10100001010000
3101221222111112110
421120002201100
5310231443340
623335225320
73620000010
oct1130024120
9357874473
10157296720
1180876399
1244818240
13267851a9
1416c67c40
15dc21680
hex9602850

157296720 has 80 divisors (see below), whose sum is σ = 557285760. Its totient is φ = 35953152.

The previous prime is 157296719. The next prime is 157296761. The reversal of 157296720 is 27692751.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45135 + ... + 48494.

It is an arithmetic number, because the mean of its divisors is an integer number (6966072).

Almost surely, 2157296720 is an apocalyptic number.

157296720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157296720 is an abundant number, since it is smaller than the sum of its proper divisors (399989040).

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

157296720 is a wasteful number, since it uses less digits than its factorization.

157296720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93652 (or 93646 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 157296720 is about 12541.7989140314. The cubic root of 157296720 is about 539.8087113958.

The spelling of 157296720 in words is "one hundred fifty-seven million, two hundred ninety-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 93629 187258 280887 374516 468145 561774 655403 749032 936290 1123548 1310806 1404435 1498064 1872580 1966209 2247096 2621612 2808870 3277015 3745160 3932418 4494192 5243224 5617740 6554030 7490320 7864836 9831045 10486448 11235480 13108060 15729672 19662090 22470960 26216120 31459344 39324180 52432240 78648360 157296720