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10914480 = 2433531163
BaseRepresentation
bin101001101000…
…101010110000
3202112111212000
4221220222300
510243230410
61025534000
7161525433
oct51505260
922474760
1010914480
116185235
1237a4300
132351b95
14164181a
15e58dc0
hexa68ab0

10914480 has 160 divisors (see below), whose sum is σ = 39045120. Its totient is φ = 2799360.

The previous prime is 10914479. The next prime is 10914503. The reversal of 10914480 is 8441901.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66879 + ... + 67041.

It is an arithmetic number, because the mean of its divisors is an integer number (244032).

Almost surely, 210914480 is an apocalyptic number.

10914480 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 10914480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19522560).

10914480 is an abundant number, since it is smaller than the sum of its proper divisors (28130640).

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

10914480 is a wasteful number, since it uses less digits than its factorization.

10914480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10914480 is about 3303.7070088009. The cubic root of 10914480 is about 221.8201611479.

The spelling of 10914480 in words is "ten million, nine hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 163 180 186 216 240 248 270 279 310 326 360 372 432 465 489 496 540 558 620 652 720 744 815 837 930 978 1080 1116 1240 1304 1395 1467 1488 1630 1674 1860 1956 2160 2232 2445 2480 2608 2790 2934 3260 3348 3720 3912 4185 4401 4464 4890 5053 5580 5868 6520 6696 7335 7440 7824 8370 8802 9780 10106 11160 11736 13040 13392 14670 15159 16740 17604 19560 20212 22005 22320 23472 25265 29340 30318 33480 35208 39120 40424 44010 45477 50530 58680 60636 66960 70416 75795 80848 88020 90954 101060 117360 121272 136431 151590 176040 181908 202120 227385 242544 272862 303180 352080 363816 404240 454770 545724 606360 682155 727632 909540 1091448 1212720 1364310 1819080 2182896 2728620 3638160 5457240 10914480