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10490100 = 2235273479
BaseRepresentation
bin101000000001…
…000011110100
3201201221201020
4220001003310
510141140400
61012501140
7155110245
oct50010364
921657636
1010490100
115a15405
12361a7b0
13223397a
141570ccc
15dc32a0
hexa010f4

10490100 has 72 divisors (see below), whose sum is σ = 30831360. Its totient is φ = 2753280.

The previous prime is 10490089. The next prime is 10490111. The reversal of 10490100 is 109401.

It is an interprime number because it is at equal distance from previous prime (10490089) and next prime (10490111).

It is a super-2 number, since 2×104901002 = 220084396020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10490100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21661 + ... + 22139.

Almost surely, 210490100 is an apocalyptic number.

10490100 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 10490100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15415680).

10490100 is an abundant number, since it is smaller than the sum of its proper divisors (20341260).

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

10490100 is a wasteful number, since it uses less digits than its factorization.

10490100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 10490100 is about 3238.8423857916. The cubic root of 10490100 is about 218.9071143385.

Adding to 10490100 its reverse (109401), we get a palindrome (10599501).

The spelling of 10490100 in words is "ten million, four hundred ninety thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 479 730 876 958 1095 1437 1460 1825 1916 2190 2395 2874 3650 4380 4790 5475 5748 7185 7300 9580 10950 11975 14370 21900 23950 28740 34967 35925 47900 69934 71850 104901 139868 143700 174835 209802 349670 419604 524505 699340 874175 1049010 1748350 2098020 2622525 3496700 5245050 10490100