Search a number
-
+
157096240 = 2457536779
BaseRepresentation
bin10010101110100…
…01100100110000
3101221121022112021
421113101210300
5310204034430
623331041224
73615203350
oct1127214460
9357538467
10157096240
1180749804
1244740214
1326714b72
1416c14b60
15dbd207a
hex95d1930

157096240 has 160 divisors (see below), whose sum is σ = 437114880. Its totient is φ = 51397632.

The previous prime is 157096229. The next prime is 157096249. The reversal of 157096240 is 42690751.

It is a junction number, because it is equal to n+sod(n) for n = 157096196 and 157096205.

It is not an unprimeable number, because it can be changed into a prime (157096249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1988521 + ... + 1988599.

It is an arithmetic number, because the mean of its divisors is an integer number (2731968).

Almost surely, 2157096240 is an apocalyptic number.

157096240 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 157096240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218557440).

157096240 is an abundant number, since it is smaller than the sum of its proper divisors (280018640).

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

157096240 is a wasteful number, since it uses less digits than its factorization.

157096240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 157096240 is about 12533.8038918758. The cubic root of 157096240 is about 539.5792790633.

The spelling of 157096240 in words is "one hundred fifty-seven million, ninety-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 67 70 79 80 106 112 134 140 158 212 265 268 280 316 335 371 395 424 469 530 536 553 560 632 670 742 790 848 938 1060 1072 1106 1264 1340 1484 1580 1855 1876 2120 2212 2345 2680 2765 2968 3160 3551 3710 3752 4187 4240 4424 4690 5293 5360 5530 5936 6320 7102 7420 7504 8374 8848 9380 10586 11060 14204 14840 16748 17755 18760 20935 21172 22120 24857 26465 28408 29309 29680 33496 35510 37051 37520 41870 42344 44240 49714 52930 56816 58618 66992 71020 74102 83740 84688 99428 105860 117236 124285 142040 146545 148204 167480 185255 198856 211720 234472 248570 280529 284080 293090 296408 334960 370510 397712 423440 468944 497140 561058 586180 592816 741020 994280 1122116 1172360 1402645 1482040 1963703 1988560 2244232 2344720 2805290 2964080 3927406 4488464 5610580 7854812 9818515 11221160 15709624 19637030 22442320 31419248 39274060 78548120 157096240