Search a number
-
+
157202320 = 24511178639
BaseRepresentation
bin10010101111010…
…11011110010000
3101221210201001011
421113223132100
5310220433240
623333220304
73616124542
oct1127533620
9357721034
10157202320
1180811480
1244791694
1326751232
1416c41692
15dc036ea
hex95eb790

157202320 has 40 divisors (see below), whose sum is σ = 398724480. Its totient is φ = 57164160.

The previous prime is 157202303. The next prime is 157202321. The reversal of 157202320 is 23202751.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 157202291 and 157202300.

It is not an unprimeable number, because it can be changed into a prime (157202321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88440 + ... + 90199.

It is an arithmetic number, because the mean of its divisors is an integer number (9968112).

Almost surely, 2157202320 is an apocalyptic number.

157202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157202320 is an abundant number, since it is smaller than the sum of its proper divisors (241522160).

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

157202320 is a wasteful number, since it uses less digits than its factorization.

157202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178663 (or 178657 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 157202320 is about 12538.0349337526. The cubic root of 157202320 is about 539.7007029141.

The spelling of 157202320 in words is "one hundred fifty-seven million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 178639 357278 714556 893195 1429112 1786390 1965029 2858224 3572780 3930058 7145560 7860116 9825145 14291120 15720232 19650290 31440464 39300580 78601160 157202320