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10997880 = 2335372477
BaseRepresentation
bin101001111101…
…000001111000
3202200202020220
4221331001320
510303413010
61031420040
7162323535
oct51750170
922622226
1010997880
116231963
123824620
132380b2a
141663d8c
15e73970
hexa7d078

10997880 has 64 divisors (see below), whose sum is σ = 33899040. Its totient is φ = 2852352.

The previous prime is 10997879. The next prime is 10997911. The reversal of 10997880 is 8879901.

10997880 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3202 + ... + 5678.

Almost surely, 210997880 is an apocalyptic number.

10997880 is a gapful number since it is divisible by the number (10) 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 10997880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16949520).

10997880 is an abundant number, since it is smaller than the sum of its proper divisors (22901160).

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

10997880 is a wasteful number, since it uses less digits than its factorization.

10997880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The square root of 10997880 is about 3316.3051729297. The cubic root of 10997880 is about 222.3837207517.

The spelling of 10997880 in words is "ten million, nine hundred ninety-seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 2477 4440 4954 7431 9908 12385 14862 19816 24770 29724 37155 49540 59448 74310 91649 99080 148620 183298 274947 297240 366596 458245 549894 733192 916490 1099788 1374735 1832980 2199576 2749470 3665960 5498940 10997880