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10157238 = 234713253
BaseRepresentation
bin100110101111…
…110010110110
3201010001010000
4212233302312
510100012423
61001412130
7152222640
oct46576266
921101100
1010157238
115808313
12349a046
132148300
1414c5890
15d59843
hex9afcb6

10157238 has 120 divisors (see below), whose sum is σ = 28697328. Its totient is φ = 2628288.

The previous prime is 10157233. The next prime is 10157239. The reversal of 10157238 is 83275101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10157233) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 191620 + ... + 191672.

Almost surely, 210157238 is an apocalyptic number.

10157238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10157238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14348664).

10157238 is an abundant number, since it is smaller than the sum of its proper divisors (18540090).

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

10157238 is a wasteful number, since it uses less digits than its factorization.

10157238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10157238 is about 3187.0422024190. The cubic root of 10157238 is about 216.5667984192.

The spelling of 10157238 in words is "ten million, one hundred fifty-seven thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 53 54 63 78 81 91 106 117 126 159 162 169 182 189 234 273 318 338 351 371 378 477 507 546 567 689 702 742 819 954 1014 1053 1113 1134 1183 1378 1431 1521 1638 2067 2106 2226 2366 2457 2862 3042 3339 3549 4134 4293 4563 4823 4914 6201 6678 7098 7371 8586 8957 9126 9646 10017 10647 12402 13689 14469 14742 17914 18603 20034 21294 26871 27378 28938 30051 31941 37206 43407 53742 55809 60102 62699 63882 80613 86814 95823 111618 125398 130221 161226 188097 191646 241839 260442 376194 390663 483678 564291 725517 781326 1128582 1451034 1692873 3385746 5078619 10157238