Search a number
-
+
157063320 = 23335236323
BaseRepresentation
bin10010101110010…
…01100010011000
3101221112122101000
421113021202120
5310202011240
623330225000
73615005361
oct1127114230
9357478330
10157063320
1180726aa7
1244725160
1326702b9b
1416c06b68
15dbc7430
hex95c9898

157063320 has 128 divisors (see below), whose sum is σ = 546393600. Its totient is φ = 40056192.

The previous prime is 157063303. The next prime is 157063351. The reversal of 157063320 is 23360751.

It is a happy number.

157063320 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 633 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21679 + ... + 28001.

It is an arithmetic number, because the mean of its divisors is an integer number (4268700).

Almost surely, 2157063320 is an apocalyptic number.

157063320 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 157063320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273196800).

157063320 is an abundant number, since it is smaller than the sum of its proper divisors (389330280).

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

157063320 is a wasteful number, since it uses less digits than its factorization.

157063320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6366 (or 6356 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 157063320 is about 12532.4905745027. The cubic root of 157063320 is about 539.5415862648.

The spelling of 157063320 in words is "one hundred fifty-seven million, sixty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 920 1035 1080 1242 1380 1656 2070 2484 2760 3105 4140 4968 6210 6323 8280 12420 12646 18969 24840 25292 31615 37938 50584 56907 63230 75876 94845 113814 126460 145429 151752 170721 189690 227628 252920 284535 290858 341442 379380 436287 455256 569070 581716 682884 727145 758760 853605 872574 1138140 1163432 1308861 1365768 1454290 1707210 1745148 2181435 2276280 2617722 2908580 3414420 3490296 3926583 4362870 5235444 5817160 6544305 6828840 7853166 8725740 10470888 13088610 15706332 17451480 19632915 26177220 31412664 39265830 52354440 78531660 157063320