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157331020 = 225711192283
BaseRepresentation
bin10010110000010…
…10111001001100
3101222001020120211
421120022321030
5310234043040
623340052204
73620202010
oct1130127114
9358036524
10157331020
118089a140
1244834064
13267979a2
1416c76540
15dc2b8ea
hex960ae4c

157331020 has 144 divisors (see below), whose sum is σ = 436278528. Its totient is φ = 46293120.

The previous prime is 157331011. The next prime is 157331021. The reversal of 157331020 is 20133751.

157331020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 157330982 and 157331000.

It is not an unprimeable number, because it can be changed into a prime (157331021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555799 + ... + 556081.

It is an arithmetic number, because the mean of its divisors is an integer number (3029712).

Almost surely, 2157331020 is an apocalyptic number.

157331020 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 157331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218139264).

157331020 is an abundant number, since it is smaller than the sum of its proper divisors (278947508).

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

157331020 is a wasteful number, since it uses less digits than its factorization.

157331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 157331020 is about 12543.1662669360. The cubic root of 157331020 is about 539.8479452996.

Adding to 157331020 its reverse (20133751), we get a palindrome (177464771).

The spelling of 157331020 in words is "one hundred fifty-seven million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 283 308 361 380 385 418 532 566 665 722 770 836 1045 1132 1330 1415 1444 1463 1540 1805 1981 2090 2527 2660 2830 2926 3113 3610 3962 3971 4180 5054 5377 5660 5852 6226 7220 7315 7924 7942 9905 10108 10754 12452 12635 14630 15565 15884 19810 19855 21508 21791 25270 26885 27797 29260 31130 37639 39620 39710 43582 50540 53770 55594 59147 62260 75278 79420 87164 102163 107540 108955 111188 118294 138985 150556 188195 204326 217910 236588 277970 295735 376390 408652 414029 435820 510815 555940 591470 715141 752780 828058 1021630 1123793 1182940 1430282 1656116 2043260 2070145 2247586 2860564 3575705 4140290 4495172 5618965 7151410 7866551 8280580 11237930 14302820 15733102 22475860 31466204 39332755 78665510 157331020