Search a number
-
+
157878720 = 263456091
BaseRepresentation
bin10010110100100…
…00100111000000
3102000002001220000
421122100213000
5310404104340
623355520000
73624642546
oct1132204700
9360061800
10157878720
118113368a
1244a59000
132692a07c
1416d79d96
15dcd8d30
hex96909c0

157878720 has 140 divisors (see below), whose sum is σ = 561694584. Its totient is φ = 42094080.

The previous prime is 157878719. The next prime is 157878731. The reversal of 157878720 is 27878751.

157878720 is a `hidden beast` number, since 1 + 578 + 7 + 8 + 72 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22875 + ... + 28965.

Almost surely, 2157878720 is an apocalyptic number.

157878720 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 157878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280847292).

157878720 is an abundant number, since it is smaller than the sum of its proper divisors (403815864).

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

157878720 is an equidigital number, since it uses as much as digits as its factorization.

157878720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120 (or 6101 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The square root of 157878720 is about 12564.9799044805. The cubic root of 157878720 is about 540.4736584853.

The spelling of 157878720 in words is "one hundred fifty-seven million, eight hundred seventy-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6091 6480 8640 12182 12960 18273 24364 25920 30455 36546 48728 54819 60910 73092 91365 97456 109638 121820 146184 164457 182730 194912 219276 243640 274095 292368 328914 365460 389824 438552 487280 493371 548190 584736 657828 730920 822285 877104 974560 986742 1096380 1169472 1315656 1461840 1644570 1754208 1949120 1973484 2192760 2466855 2631312 2923680 3289140 3508416 3946968 4385520 4933710 5262624 5847360 6578280 7893936 8771040 9867420 10525248 13156560 15787872 17542080 19734840 26313120 31575744 39469680 52626240 78939360 157878720