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10939488 = 253773223
BaseRepresentation
bin101001101110…
…110001100000
3202120210011020
4221232301200
510300030423
61030245440
7161661360
oct51566140
922523136
1010939488
1161a1aaa
1237b6880
132360391
14164a9a0
15e614e3
hexa6ec60

10939488 has 96 divisors (see below), whose sum is σ = 33417216. Its totient is φ = 3068928.

The previous prime is 10939477. The next prime is 10939499. The reversal of 10939488 is 88493901.

It is an interprime number because it is at equal distance from previous prime (10939477) and next prime (10939499).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48945 + ... + 49167.

It is an arithmetic number, because the mean of its divisors is an integer number (348096).

Almost surely, 210939488 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 10939488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16708608).

10939488 is an abundant number, since it is smaller than the sum of its proper divisors (22477728).

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

10939488 is a wasteful number, since it uses less digits than its factorization.

10939488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 10939488 is about 3307.4896825236. The cubic root of 10939488 is about 221.9894484069.

The spelling of 10939488 in words is "ten million, nine hundred thirty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 223 224 292 336 438 446 511 584 669 672 876 892 1022 1168 1338 1533 1561 1752 1784 2044 2336 2676 3066 3122 3504 3568 4088 4683 5352 6132 6244 7008 7136 8176 9366 10704 12264 12488 16279 16352 18732 21408 24528 24976 32558 37464 48837 49056 49952 65116 74928 97674 113953 130232 149856 195348 227906 260464 341859 390696 455812 520928 683718 781392 911624 1367436 1562784 1823248 2734872 3646496 5469744 10939488