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109060480 = 2752331239
BaseRepresentation
bin1101000000000…
…10000110000000
321121012211212001
412200002012000
5210404413410
614453313344
72462666404
oct640020600
9247184761
10109060480
115661a831
1230635854
1319796839
14106ad104
15989433a
hex6802180

109060480 has 128 divisors (see below), whose sum is σ = 282009600. Its totient is φ = 40212480.

The previous prime is 109060477. The next prime is 109060489. The reversal of 109060480 is 84060901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109060489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456201 + ... + 456439.

It is an arithmetic number, because the mean of its divisors is an integer number (2203200).

Almost surely, 2109060480 is an apocalyptic number.

109060480 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 109060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141004800).

109060480 is an abundant number, since it is smaller than the sum of its proper divisors (172949120).

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

109060480 is a wasteful number, since it uses less digits than its factorization.

109060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 109060480 is about 10443.2025739234. The cubic root of 109060480 is about 477.7739516950.

The spelling of 109060480 in words is "one hundred nine million, sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 31 32 40 46 62 64 80 92 115 124 128 155 160 184 230 239 248 310 320 368 460 478 496 620 640 713 736 920 956 992 1195 1240 1426 1472 1840 1912 1984 2390 2480 2852 2944 3565 3680 3824 3968 4780 4960 5497 5704 7130 7360 7409 7648 9560 9920 10994 11408 14260 14720 14818 15296 19120 19840 21988 22816 27485 28520 29636 30592 37045 38240 43976 45632 54970 57040 59272 74090 76480 87952 91264 109940 114080 118544 148180 152960 170407 175904 219880 228160 237088 296360 340814 351808 439760 456320 474176 592720 681628 703616 852035 879520 948352 1185440 1363256 1704070 1759040 2370880 2726512 3408140 3518080 4741760 5453024 6816280 10906048 13632560 21812096 27265120 54530240 109060480