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10514988 = 22331153167
BaseRepresentation
bin101000000111…
…001000101100
3201210012212000
4220013020230
510142434423
61013212300
7155242641
oct50071054
921705760
1010514988
115a32080
123631090
1322420b3
141579dc8
15dca843
hexa0722c

10514988 has 96 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 3107520.

The previous prime is 10514969. The next prime is 10515007. The reversal of 10514988 is 88941501.

It is an interprime number because it is at equal distance from previous prime (10514969) and next prime (10515007).

It is a super-2 number, since 2×105149882 = 221129945280288, which contains 22 as substring.

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

It is a nialpdrome in base 15.

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, 62881 + ... + 63047.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 210514988 is an apocalyptic number.

10514988 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 10514988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

10514988 is an abundant number, since it is smaller than the sum of its proper divisors (19966932).

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

10514988 is a wasteful number, since it uses less digits than its factorization.

10514988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 10514988 is about 3242.6822230986. The cubic root of 10514988 is about 219.0800983045.

The spelling of 10514988 in words is "ten million, five hundred fourteen thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 53 54 66 99 106 108 132 159 167 198 212 297 318 334 396 477 501 583 594 636 668 954 1002 1166 1188 1431 1503 1749 1837 1908 2004 2332 2862 3006 3498 3674 4509 5247 5511 5724 6012 6996 7348 8851 9018 10494 11022 15741 16533 17702 18036 20988 22044 26553 31482 33066 35404 49599 53106 62964 66132 79659 97361 99198 106212 159318 194722 198396 238977 292083 318636 389444 477954 584166 876249 955908 1168332 1752498 2628747 3504996 5257494 10514988