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10420488 = 2334131237
BaseRepresentation
bin100111110000…
…000100001000
3201121102020000
4213300010020
510131423423
61011203000
7154400301
oct47600410
921542200
1010420488
115978081
1235a6460
13220b090
1415537a8
15dac843
hex9f0108

10420488 has 80 divisors (see below), whose sum is σ = 31457580. Its totient is φ = 3203712.

The previous prime is 10420481. The next prime is 10420499. The reversal of 10420488 is 88402401.

It can be written as a sum of positive squares in 2 ways, for example, as 10381284 + 39204 = 3222^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10420481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7806 + ... + 9042.

Almost surely, 210420488 is an apocalyptic number.

10420488 is a gapful number since it is divisible by the number (18) 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 10420488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728790).

10420488 is an abundant number, since it is smaller than the sum of its proper divisors (21037092).

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

10420488 is a wasteful number, since it uses less digits than its factorization.

10420488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 10420488 is about 3228.0780659705. The cubic root of 10420488 is about 218.4218188563.

Adding to 10420488 its reverse (88402401), we get a palindrome (98822889).

The spelling of 10420488 in words is "ten million, four hundred twenty thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1237 1404 2106 2474 2808 3711 4212 4948 7422 8424 9896 11133 14844 16081 22266 29688 32162 33399 44532 48243 64324 66798 89064 96486 100197 128648 133596 144729 192972 200394 267192 289458 385944 400788 434187 578916 801576 868374 1157832 1302561 1736748 2605122 3473496 5210244 10420488