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109995408 = 2435191489
BaseRepresentation
bin1101000111001…
…10010110010000
321122222100100000
412203212112100
5211124323113
614525330000
72503642215
oct643462620
9248870300
10109995408
11570a91a6
1230a06900
1319a33253
1410873b0c
1599cb373
hex68e6590

109995408 has 120 divisors (see below), whose sum is σ = 336263200. Its totient is φ = 34712064.

The previous prime is 109995359. The next prime is 109995421. The reversal of 109995408 is 804599901.

109995408 is a `hidden beast` number, since 10 + 9 + 99 + 540 + 8 = 666.

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, 73128 + ... + 74616.

Almost surely, 2109995408 is an apocalyptic number.

109995408 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 109995408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168131600).

109995408 is an abundant number, since it is smaller than the sum of its proper divisors (226267792).

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

109995408 is a wasteful number, since it uses less digits than its factorization.

109995408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 109995408 is about 10487.8695644063. The cubic root of 109995408 is about 479.1353182802.

The spelling of 109995408 in words is "one hundred nine million, nine hundred ninety-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 912 972 1026 1296 1368 1489 1539 1944 2052 2736 2978 3078 3888 4104 4467 4617 5956 6156 8208 8934 9234 11912 12312 13401 17868 18468 23824 24624 26802 28291 35736 36936 40203 53604 56582 71472 73872 80406 84873 107208 113164 120609 160812 169746 214416 226328 241218 254619 321624 339492 361827 452656 482436 509238 643248 678984 723654 763857 964872 1018476 1357968 1447308 1527714 1929744 2036952 2291571 2894616 3055428 4073904 4583142 5789232 6110856 6874713 9166284 12221712 13749426 18332568 27498852 36665136 54997704 109995408