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157301340 = 223571722031
BaseRepresentation
bin10010110000000…
…11101001011100
3101221222201212120
421120003221130
5310232120330
623335302540
73620016330
oct1130035134
9357881776
10157301340
1180879909
124481aa50
1326787321
1416c697c0
15dc22c10
hex9603a5c

157301340 has 96 divisors (see below), whose sum is σ = 532998144. Its totient is φ = 33838080.

The previous prime is 157301321. The next prime is 157301363. The reversal of 157301340 is 43103751.

It is a self number, because there is not a number n which added to its sum of digits gives 157301340.

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, 3876 + ... + 18155.

It is an arithmetic number, because the mean of its divisors is an integer number (5552064).

Almost surely, 2157301340 is an apocalyptic number.

157301340 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 157301340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266499072).

157301340 is an abundant number, since it is smaller than the sum of its proper divisors (375696804).

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

157301340 is a wasteful number, since it uses less digits than its factorization.

157301340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22067 (or 22065 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 157301340 is about 12541.9830967834. The cubic root of 157301340 is about 539.8139962948.

It can be divided in two parts, 157301 and 340, that added together give a triangular number (157641 = T561).

The spelling of 157301340 in words is "one hundred fifty-seven million, three hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 22031 44062 66093 88124 110155 132186 154217 220310 264372 308434 330465 374527 440620 462651 616868 660930 749054 771085 925302 1123581 1321860 1498108 1542170 1850604 1872635 2247162 2313255 2621689 3084340 3745270 4494324 4626510 5243378 5617905 7490540 7865067 9253020 10486756 11235810 13108445 15730134 22471620 26216890 31460268 39325335 52433780 78650670 157301340