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10124970840 = 2334517183823
BaseRepresentation
bin10010110110111111…
…01100101101011000
3222010121220210220000
421123133230231120
5131213443031330
64352405133000
7505622555265
oct113337545530
928117823800
1010124970840
1143263114a6
121b669ba160
13c54864b0a
146c09b426c
153e3d46560
hex25b7ecb58

10124970840 has 160 divisors (see below), whose sum is σ = 36033180480. Its totient is φ = 2541155328.

The previous prime is 10124970811. The next prime is 10124970887. The reversal of 10124970840 is 4807942101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10124970795 and 10124970804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36832 + ... + 146991.

It is an arithmetic number, because the mean of its divisors is an integer number (225207378).

Almost surely, 210124970840 is an apocalyptic number.

10124970840 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 10124970840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18016590240).

10124970840 is an abundant number, since it is smaller than the sum of its proper divisors (25908209640).

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

10124970840 is a wasteful number, since it uses less digits than its factorization.

10124970840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183863 (or 183850 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10124970840 in words is "ten billion, one hundred twenty-four million, nine hundred seventy thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 2040 2295 2754 3060 3240 3672 4590 5508 6120 6885 9180 11016 13770 18360 27540 55080 183823 367646 551469 735292 919115 1102938 1470584 1654407 1838230 2205876 2757345 3124991 3308814 3676460 4411752 4963221 5514690 6249982 6617628 7352920 8272035 9374973 9926442 11029380 12499964 13235256 14889663 15624955 16544070 18749946 19852884 22058760 24816105 24999928 28124919 29779326 31249910 33088140 37499892 39705768 46874865 49632210 56249838 59558652 62499820 66176280 74448315 74999784 84374757 93749730 99264420 112499676 119117304 124999640 140624595 148896630 168749514 187499460 198528840 224999352 253124271 281249190 297793260 337499028 374998920 421873785 506248542 562498380 595586520 674998056 843747570 1012497084 1124996760 1265621355 1687495140 2024994168 2531242710 3374990280 5062485420 10124970840