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10697076 = 22331319401
BaseRepresentation
bin101000110011…
…100101110100
3202010110122000
4220303211310
510214301301
61021135300
7156631545
oct50634564
922113560
1010697076
116046965
1236ba530
1322a6c40
1415c64cc
15e14786
hexa33974

10697076 has 96 divisors (see below), whose sum is σ = 31516800. Its totient is φ = 3110400.

The previous prime is 10697069. The next prime is 10697081. The reversal of 10697076 is 67079601.

10697076 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106970762 = 228854869899552, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10697076.

It is a congruent number.

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, 26476 + ... + 26876.

It is an arithmetic number, because the mean of its divisors is an integer number (328300).

Almost surely, 210697076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10697076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15758400).

10697076 is an abundant number, since it is smaller than the sum of its proper divisors (20819724).

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

10697076 is a wasteful number, since it uses less digits than its factorization.

10697076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 10697076 is about 3270.6384697793. The cubic root of 10697076 is about 220.3374710492.

The spelling of 10697076 in words is "ten million, six hundred ninety-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 247 342 351 401 468 494 513 684 702 741 802 988 1026 1203 1404 1482 1604 2052 2223 2406 2964 3609 4446 4812 5213 6669 7218 7619 8892 10426 10827 13338 14436 15238 15639 20852 21654 22857 26676 30476 31278 43308 45714 46917 62556 68571 91428 93834 99047 137142 140751 187668 198094 205713 274284 281502 297141 396188 411426 563004 594282 822852 891423 1188564 1782846 2674269 3565692 5348538 10697076