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20157240 = 23351741241
BaseRepresentation
bin100110011100…
…1001100111000
31101221002112110
41030321030320
520130012430
62000012320
7333222315
oct114711470
941832473
1020157240
1110418484
1269010a0
134239b7c
142969d0c
151b827b0
hex1339338

20157240 has 128 divisors (see below), whose sum is σ = 65862720. Its totient is φ = 4915200.

The previous prime is 20157229. The next prime is 20157253. The reversal of 20157240 is 4275102.

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, 83520 + ... + 83760.

Almost surely, 220157240 is an apocalyptic number.

20157240 is a gapful number since it is divisible by the number (20) 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 20157240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32931360).

20157240 is an abundant number, since it is smaller than the sum of its proper divisors (45705480).

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

20157240 is a wasteful number, since it uses less digits than its factorization.

20157240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 20157240 is about 4489.6815031804. The cubic root of 20157240 is about 272.1512639032.

The spelling of 20157240 in words is "twenty million, one hundred fifty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 41 51 60 68 82 85 102 120 123 136 164 170 204 205 241 246 255 328 340 408 410 482 492 510 615 680 697 723 820 964 984 1020 1205 1230 1394 1446 1640 1928 2040 2091 2410 2460 2788 2892 3485 3615 4097 4182 4820 4920 5576 5784 6970 7230 8194 8364 9640 9881 10455 12291 13940 14460 16388 16728 19762 20485 20910 24582 27880 28920 29643 32776 39524 40970 41820 49164 49405 59286 61455 79048 81940 83640 98328 98810 118572 122910 148215 163880 167977 197620 237144 245820 296430 335954 395240 491640 503931 592860 671908 839885 1007862 1185720 1343816 1679770 2015724 2519655 3359540 4031448 5039310 6719080 10078620 20157240