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109139040 = 25325193989
BaseRepresentation
bin1101000000101…
…01010001100000
321121100211121200
412200111101200
5210414422130
614455121200
72463444423
oct640252140
9247324550
10109139040
115667385a
1230673200
13197c351a
14106cd9ba
1598ac760
hex6815460

109139040 has 144 divisors (see below), whose sum is σ = 392137200. Its totient is φ = 27565056.

The previous prime is 109139039. The next prime is 109139057. The reversal of 109139040 is 40931901.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1091390402 = 23822660104243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 109138995 and 109139013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25366 + ... + 29354.

It is an arithmetic number, because the mean of its divisors is an integer number (2723175).

Almost surely, 2109139040 is an apocalyptic number.

109139040 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 109139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196068600).

109139040 is an abundant number, since it is smaller than the sum of its proper divisors (282998160).

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

109139040 is a wasteful number, since it uses less digits than its factorization.

109139040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 109139040 is about 10446.9631951108. The cubic root of 109139040 is about 477.8886431425. Note that the first 3 decimals are identical.

The spelling of 109139040 in words is "one hundred nine million, one hundred thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 3989 4560 5472 6840 7978 9120 11967 13680 15956 19945 23934 27360 31912 35901 39890 47868 59835 63824 71802 75791 79780 95736 119670 127648 143604 151582 159560 179505 191472 227373 239340 287208 303164 319120 359010 378955 382944 454746 478680 574416 606328 638240 682119 718020 757910 909492 957360 1136865 1148832 1212656 1364238 1436040 1515820 1818984 1914720 2273730 2425312 2728476 2872080 3031640 3410595 3637968 4547460 5456952 5744160 6063280 6821190 7275936 9094920 10913904 12126560 13642380 18189840 21827808 27284760 36379680 54569520 109139040