Search a number
-
+
10064100 = 2235233547
BaseRepresentation
bin100110011001…
…000011100100
3200221022100110
4212121003210
510034022400
6555413020
7151354254
oct46310344
920838313
1010064100
115754342
123454170
132114ab7
14149d964
15d3be50
hex9990e4

10064100 has 36 divisors (see below), whose sum is σ = 29119664. Its totient is φ = 2683680.

The previous prime is 10064083. The next prime is 10064101. The reversal of 10064100 is 146001.

It is a super-2 number, since 2×100641002 = 202572217620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10064101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16474 + ... + 17073.

Almost surely, 210064100 is an apocalyptic number.

10064100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10064100 is an abundant number, since it is smaller than the sum of its proper divisors (19055564).

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

10064100 is a wasteful number, since it uses less digits than its factorization.

10064100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33564 (or 33557 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10064100 is about 3172.3965704180. The cubic root of 10064100 is about 215.9028197960.

The spelling of 10064100 in words is "ten million, sixty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 33547 67094 100641 134188 167735 201282 335470 402564 503205 670940 838675 1006410 1677350 2012820 2516025 3354700 5032050 10064100