Search a number
-
+
157210620 = 2235737639
BaseRepresentation
bin10010101111011…
…01011111111100
3101221211010102120
421113231133330
5310221214440
623333322540
73616161000
oct1127553774
9357733376
10157210620
1180817736
1244796450
1326754c48
1416c44700
15dc05dd0
hex95ed7fc

157210620 has 96 divisors (see below), whose sum is σ = 513408000. Its totient is φ = 35929152.

The previous prime is 157210607. The next prime is 157210621. The reversal of 157210620 is 26012751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157210621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16761 + ... + 24399.

It is an arithmetic number, because the mean of its divisors is an integer number (5348000).

Almost surely, 2157210620 is an apocalyptic number.

157210620 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 157210620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256704000).

157210620 is an abundant number, since it is smaller than the sum of its proper divisors (356197380).

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

157210620 is a wasteful number, since it uses less digits than its factorization.

157210620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672 (or 7656 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 157210620 is about 12538.3659222404. The cubic root of 157210620 is about 539.7102011560.

The spelling of 157210620 in words is "one hundred fifty-seven million, two hundred ten thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 588 686 735 980 1029 1372 1470 1715 2058 2940 3430 4116 5145 6860 7639 10290 15278 20580 22917 30556 38195 45834 53473 76390 91668 106946 114585 152780 160419 213892 229170 267365 320838 374311 458340 534730 641676 748622 802095 1069460 1122933 1497244 1604190 1871555 2245866 2620177 3208380 3743110 4491732 5240354 5614665 7486220 7860531 10480708 11229330 13100885 15721062 22458660 26201770 31442124 39302655 52403540 78605310 157210620