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10740816 = 243323247
BaseRepresentation
bin101000111110…
…010001010000
3202012200122000
4220332101100
510222201231
61022114000
7160203222
oct50762120
922180560
1010740816
116076809
12371b900
1322c0b18
1415d8412
15e226e6
hexa3e450

10740816 has 120 divisors (see below), whose sum is σ = 32914560. Its totient is φ = 3351744.

The previous prime is 10740803. The next prime is 10740827. The reversal of 10740816 is 61804701.

10740816 = T33 + T34 + ... + T400.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10740816.

It is a congruent number.

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, 228505 + ... + 228551.

It is an arithmetic number, because the mean of its divisors is an integer number (274288).

Almost surely, 210740816 is an apocalyptic number.

10740816 is a gapful number since it is divisible by the number (16) 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 10740816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16457280).

10740816 is an abundant number, since it is smaller than the sum of its proper divisors (22173744).

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

10740816 is a wasteful number, since it uses less digits than its factorization.

10740816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10740816 is about 3277.3184160225. The cubic root of 10740816 is about 220.6373802596.

The spelling of 10740816 in words is "ten million, seven hundred forty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 47 48 54 69 72 92 94 108 138 141 144 184 188 207 216 276 282 368 376 414 423 432 529 552 564 621 752 828 846 1058 1081 1104 1128 1242 1269 1587 1656 1692 2116 2162 2256 2484 2538 3174 3243 3312 3384 4232 4324 4761 4968 5076 6348 6486 6768 8464 8648 9522 9729 9936 10152 12696 12972 14283 17296 19044 19458 20304 24863 25392 25944 28566 29187 38088 38916 49726 51888 57132 58374 74589 76176 77832 99452 114264 116748 149178 155664 198904 223767 228528 233496 298356 397808 447534 466992 596712 671301 895068 1193424 1342602 1790136 2685204 3580272 5370408 10740816