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10948920 = 2335233967
BaseRepresentation
bin101001110001…
…000100111000
3202121021002120
4221301010320
510300331140
61030401240
7162031023
oct51610470
922537076
1010948920
1161a90a4
123800220
132364768
1416501ba
15e641d0
hexa71138

10948920 has 64 divisors (see below), whose sum is σ = 34283520. Its totient is φ = 2792064.

The previous prime is 10948913. The next prime is 10948937. The reversal of 10948920 is 2984901.

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, 777 + ... + 4743.

It is an arithmetic number, because the mean of its divisors is an integer number (535680).

Almost surely, 210948920 is an apocalyptic number.

10948920 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 10948920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141760).

10948920 is an abundant number, since it is smaller than the sum of its proper divisors (23334600).

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

10948920 is a wasteful number, since it uses less digits than its factorization.

10948920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 10948920 is about 3308.9152301019. The cubic root of 10948920 is about 222.0532296675.

The spelling of 10948920 in words is "ten million, nine hundred forty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 3967 7934 11901 15868 19835 23802 31736 39670 47604 59505 79340 91241 95208 119010 158680 182482 238020 273723 364964 456205 476040 547446 729928 912410 1094892 1368615 1824820 2189784 2737230 3649640 5474460 10948920