Search a number
-
+
157098960 = 24335257283
BaseRepresentation
bin10010101110100…
…10001111010000
3101221121110021000
421113102033100
5310204131320
623331102000
73615214314
oct1127221720
9357543230
10157098960
1180750857
1244741900
1326716185
1416c15b44
15dbd2c90
hex95d23d0

157098960 has 160 divisors (see below), whose sum is σ = 545143680. Its totient is φ = 41582592.

The previous prime is 157098937. The next prime is 157098967. The reversal of 157098960 is 69890751.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157098967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554979 + ... + 555261.

It is an arithmetic number, because the mean of its divisors is an integer number (3407148).

Almost surely, 2157098960 is an apocalyptic number.

157098960 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 157098960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272571840).

157098960 is an abundant number, since it is smaller than the sum of its proper divisors (388044720).

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

157098960 is a wasteful number, since it uses less digits than its factorization.

157098960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 157098960 is about 12533.9123979706. The cubic root of 157098960 is about 539.5823931781.

The spelling of 157098960 in words is "one hundred fifty-seven million, ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 257 270 283 360 432 514 540 566 720 771 849 1028 1080 1132 1285 1415 1542 1698 2056 2160 2264 2313 2547 2570 2830 3084 3396 3855 4112 4245 4528 4626 5094 5140 5660 6168 6792 6939 7641 7710 8490 9252 10188 10280 11320 11565 12336 12735 13584 13878 15282 15420 16980 18504 20376 20560 22640 23130 25470 27756 30564 30840 33960 34695 37008 38205 40752 46260 50940 55512 61128 61680 67920 69390 72731 76410 92520 101880 111024 122256 138780 145462 152820 185040 203760 218193 277560 290924 305640 363655 436386 555120 581848 611280 654579 727310 872772 1090965 1163696 1309158 1454620 1745544 1963737 2181930 2618316 2909240 3272895 3491088 3927474 4363860 5236632 5818480 6545790 7854948 8727720 9818685 10473264 13091580 15709896 17455440 19637370 26183160 31419792 39274740 52366320 78549480 157098960