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109102640 = 24529313741
BaseRepresentation
bin1101000000011…
…00011000110000
321121021222200112
412200030120300
5210412241030
614454240452
72463233333
oct640143060
9247258615
10109102640
1156649479
1230656128
13197aca9a
14106c061a
1598a1a95
hex680c630

109102640 has 160 divisors (see below), whose sum is σ = 284981760. Its totient is φ = 38707200.

The previous prime is 109102633. The next prime is 109102649. The reversal of 109102640 is 46201901.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (109102649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2661020 + ... + 2661060.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 2109102640 is an apocalyptic number.

109102640 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 109102640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

109102640 is an abundant number, since it is smaller than the sum of its proper divisors (175879120).

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

109102640 is a wasteful number, since it uses less digits than its factorization.

109102640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 109102640 is about 10445.2209167638. The cubic root of 109102640 is about 477.8355088383.

The spelling of 109102640 in words is "one hundred nine million, one hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 31 37 40 41 58 62 74 80 82 116 124 145 148 155 164 185 205 232 248 290 296 310 328 370 410 464 496 580 592 620 656 740 820 899 1073 1147 1160 1189 1240 1271 1480 1517 1640 1798 2146 2294 2320 2378 2480 2542 2960 3034 3280 3596 4292 4495 4588 4756 5084 5365 5735 5945 6068 6355 7192 7585 8584 8990 9176 9512 10168 10730 11470 11890 12136 12710 14384 15170 17168 17980 18352 19024 20336 21460 22940 23780 24272 25420 30340 33263 35960 36859 42920 43993 45880 47027 47560 50840 60680 66526 71920 73718 85840 87986 91760 94054 95120 101680 121360 133052 147436 166315 175972 184295 188108 219965 235135 266104 294872 332630 351944 368590 376216 439930 470270 532208 589744 665260 703888 737180 752432 879860 940540 1330520 1363783 1474360 1759720 1881080 2661040 2727566 2948720 3519440 3762160 5455132 6818915 10910264 13637830 21820528 27275660 54551320 109102640