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10794480 = 2435411097
BaseRepresentation
bin101001001011…
…010111110000
3202022102020120
4221023113300
510230410410
61023210240
7160515534
oct51132760
922272216
1010794480
116103064
123746980
13230c388
14160dbc4
15e33570
hexa4b5f0

10794480 has 80 divisors (see below), whose sum is σ = 34310304. Its totient is φ = 2805760.

The previous prime is 10794461. The next prime is 10794523. The reversal of 10794480 is 8449701.

10794480 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 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9292 + ... + 10388.

Almost surely, 210794480 is an apocalyptic number.

10794480 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 10794480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17155152).

10794480 is an abundant number, since it is smaller than the sum of its proper divisors (23515824).

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

10794480 is a wasteful number, since it uses less digits than its factorization.

10794480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 10794480 is about 3285.4953964357. The cubic root of 10794480 is about 221.0042245120.

The spelling of 10794480 in words is "ten million, seven hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1097 1230 1640 1968 2194 2460 3280 3291 4388 4920 5485 6582 8776 9840 10970 13164 16455 17552 21940 26328 32910 43880 44977 52656 65820 87760 89954 131640 134931 179908 224885 263280 269862 359816 449770 539724 674655 719632 899540 1079448 1349310 1799080 2158896 2698620 3598160 5397240 10794480