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10422960 = 2435137317
BaseRepresentation
bin100111110000…
…101010110000
3201121112121120
4213300222300
510132013320
61011222240
7154410432
oct47605260
921545546
1010422960
115979a19
1235a7980
13220c242
141554652
15dad440
hex9f0ab0

10422960 has 80 divisors (see below), whose sum is σ = 32649696. Its totient is φ = 2750464.

The previous prime is 10422959. The next prime is 10422967. The reversal of 10422960 is 6922401.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10422960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10422967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32722 + ... + 33038.

Almost surely, 210422960 is an apocalyptic number.

10422960 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 10422960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16324848).

10422960 is an abundant number, since it is smaller than the sum of its proper divisors (22226736).

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

10422960 is a wasteful number, since it uses less digits than its factorization.

10422960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10422960 is about 3228.4609336339. The cubic root of 10422960 is about 218.4390891941.

The spelling of 10422960 in words is "ten million, four hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 317 411 548 634 685 822 951 1096 1268 1370 1585 1644 1902 2055 2192 2536 2740 3170 3288 3804 4110 4755 5072 5480 6340 6576 7608 8220 9510 10960 12680 15216 16440 19020 25360 32880 38040 43429 76080 86858 130287 173716 217145 260574 347432 434290 521148 651435 694864 868580 1042296 1302870 1737160 2084592 2605740 3474320 5211480 10422960