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10769920 = 2957601
BaseRepresentation
bin101001000101…
…011000000000
3202021011112221
4221011120000
510224114140
61022500424
7160354120
oct51053000
922234487
1010769920
116096667
123734714
132301145
141604c80
15e2b14a
hexa45600

10769920 has 80 divisors (see below), whose sum is σ = 29560608. Its totient is φ = 3686400.

The previous prime is 10769881. The next prime is 10769939. The reversal of 10769920 is 2996701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17620 + ... + 18220.

Almost surely, 210769920 is an apocalyptic number.

10769920 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 10769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14780304).

10769920 is an abundant number, since it is smaller than the sum of its proper divisors (18790688).

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

10769920 is an frugal number, since it uses more digits than its factorization.

10769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 10769920 is about 3281.7556277090. The cubic root of 10769920 is about 220.8364849042.

The spelling of 10769920 in words is "ten million, seven hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 601 640 896 1120 1202 1280 1792 2240 2404 2560 3005 3584 4207 4480 4808 6010 8414 8960 9616 12020 16828 17920 19232 21035 24040 33656 38464 42070 48080 67312 76928 84140 96160 134624 153856 168280 192320 269248 307712 336560 384640 538496 673120 769280 1076992 1346240 1538560 2153984 2692480 5384960 10769920