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109640448 = 2832232069
BaseRepresentation
bin1101000100011…
…11101100000000
321122022022102100
412202033230000
5211031443243
614513550400
72500633311
oct642175400
9248268370
10109640448
1156986545
1230875400
131993a808
14107c0608
15995b0d3
hex688fb00

109640448 has 108 divisors (see below), whose sum is σ = 330024240. Its totient is φ = 34940928.

The previous prime is 109640423. The next prime is 109640477. The reversal of 109640448 is 844046901.

It is a happy number.

109640448 is a `hidden beast` number, since 1 + 0 + 9 + 640 + 4 + 4 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51958 + ... + 54026.

It is an arithmetic number, because the mean of its divisors is an integer number (3055780).

Almost surely, 2109640448 is an apocalyptic number.

109640448 is a gapful number since it is divisible by the number (18) 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 109640448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165012120).

109640448 is an abundant number, since it is smaller than the sum of its proper divisors (220383792).

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

109640448 is a wasteful number, since it uses less digits than its factorization.

109640448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 109640448 is about 10470.9334827416. The cubic root of 109640448 is about 478.6193659944.

The spelling of 109640448 in words is "one hundred nine million, six hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 552 576 736 768 828 1104 1152 1472 1656 2069 2208 2304 2944 3312 4138 4416 5888 6207 6624 8276 8832 12414 13248 16552 17664 18621 24828 26496 33104 37242 47587 49656 52992 66208 74484 95174 99312 132416 142761 148968 190348 198624 264832 285522 297936 380696 397248 428283 529664 571044 595872 761392 794496 856566 1142088 1191744 1522784 1588992 1713132 2284176 2383488 3045568 3426264 4568352 4766976 6091136 6852528 9136704 12182272 13705056 18273408 27410112 36546816 54820224 109640448