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10973952 = 283211433
BaseRepresentation
bin101001110111…
…001100000000
3202122112102200
4221313030000
510302131302
61031113200
7162164013
oct51671400
922575380
1010973952
116215990
123812800
132372c82
14165937a
15e6b81c
hexa77300

10973952 has 108 divisors (see below), whose sum is σ = 34596744. Its totient is φ = 3317760.

The previous prime is 10973939. The next prime is 10973957. The reversal of 10973952 is 25937901.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10973957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25128 + ... + 25560.

Almost surely, 210973952 is an apocalyptic number.

10973952 is a gapful number since it is divisible by the number (12) 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 10973952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17298372).

10973952 is an abundant number, since it is smaller than the sum of its proper divisors (23622792).

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

10973952 is a wasteful number, since it uses less digits than its factorization.

10973952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 10973952 is about 3312.6955791319. The cubic root of 10973952 is about 222.2223241481. Note that the first 3 decimals are identical.

The spelling of 10973952 in words is "ten million, nine hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 433 528 576 704 768 792 866 1056 1152 1299 1408 1584 1732 2112 2304 2598 2816 3168 3464 3897 4224 4763 5196 6336 6928 7794 8448 9526 10392 12672 13856 14289 15588 19052 20784 25344 27712 28578 31176 38104 41568 42867 55424 57156 62352 76208 83136 85734 110848 114312 124704 152416 166272 171468 228624 249408 304832 332544 342936 457248 498816 609664 685872 914496 997632 1219328 1371744 1828992 2743488 3657984 5486976 10973952