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10420704 = 253371723
BaseRepresentation
bin100111110000…
…000111100000
3201121102112000
4213300013200
510131430304
61011204000
7154401030
oct47600740
921542460
1010420704
115978258
1235a6600
13220b1c8
1415538c0
15dac939
hex9f01e0

10420704 has 96 divisors (see below), whose sum is σ = 34755840. Its totient is φ = 2975616.

The previous prime is 10420703. The next prime is 10420723. The reversal of 10420704 is 40702401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5187 + ... + 6909.

It is an arithmetic number, because the mean of its divisors is an integer number (362040).

Almost surely, 210420704 is an apocalyptic number.

10420704 is a gapful number since it is divisible by the number (14) 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 10420704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17377920).

10420704 is an abundant number, since it is smaller than the sum of its proper divisors (24335136).

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

10420704 is a wasteful number, since it uses less digits than its factorization.

10420704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10420704 is about 3228.1115222371. Note that the first 3 decimals coincide. The cubic root of 10420704 is about 218.4233280238.

The spelling of 10420704 in words is "ten million, four hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 1723 2016 3024 3446 5169 6048 6892 10338 12061 13784 15507 20676 24122 27568 31014 36183 41352 46521 48244 55136 62028 72366 82704 93042 96488 108549 124056 144732 165408 186084 192976 217098 248112 289464 325647 372168 385952 434196 496224 578928 651294 744336 868392 1157856 1302588 1488672 1736784 2605176 3473568 5210352 10420704