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10993920 = 28357409
BaseRepresentation
bin101001111100…
…000100000000
3202200112211020
4221330010000
510303301140
61031345440
7162306150
oct51740400
922615736
1010993920
116229993
123822280
13237c0a2
141662760
15e726d0
hexa7c100

10993920 has 144 divisors (see below), whose sum is σ = 40225920. Its totient is φ = 2506752.

The previous prime is 10993909. The next prime is 10993937. The reversal of 10993920 is 2939901.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26676 + ... + 27084.

Almost surely, 210993920 is an apocalyptic number.

10993920 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 10993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20112960).

10993920 is an abundant number, since it is smaller than the sum of its proper divisors (29232000).

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

10993920 is an equidigital number, since it uses as much as digits as its factorization.

10993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 10993920 is about 3315.7080691762. The cubic root of 10993920 is about 222.3570263569.

The spelling of 10993920 in words is "ten million, nine hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 409 420 448 480 560 640 672 768 818 840 896 960 1120 1227 1280 1344 1636 1680 1792 1920 2045 2240 2454 2688 2863 3272 3360 3840 4090 4480 4908 5376 5726 6135 6544 6720 8180 8589 8960 9816 11452 12270 13088 13440 14315 16360 17178 19632 22904 24540 26176 26880 28630 32720 34356 39264 42945 45808 49080 52352 57260 65440 68712 78528 85890 91616 98160 104704 114520 130880 137424 157056 171780 183232 196320 229040 261760 274848 314112 343560 366464 392640 458080 523520 549696 687120 732928 785280 916160 1099392 1374240 1570560 1832320 2198784 2748480 3664640 5496960 10993920