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10064232 = 23321131237
BaseRepresentation
bin100110011001…
…000101101000
3200221022112100
4212121011220
510034023412
6555413400
7151354533
oct46310550
920838470
1010064232
115754452
123454260
132114b89
14149da1a
15d3bedc
hex999168

10064232 has 48 divisors (see below), whose sum is σ = 27520740. Its totient is φ = 3322368.

The previous prime is 10064227. The next prime is 10064237. The reversal of 10064232 is 23246001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10064227) and next prime (10064237).

It can be written as a sum of positive squares in 2 ways, for example, as 9696996 + 367236 = 3114^2 + 606^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10064237) 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, 7518 + ... + 8754.

Almost surely, 210064232 is an apocalyptic number.

10064232 is a gapful number since it is divisible by the number (12) 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 10064232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13760370).

10064232 is an abundant number, since it is smaller than the sum of its proper divisors (17456508).

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

10064232 is a wasteful number, since it uses less digits than its factorization.

10064232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10064232 is about 3172.4173748106. The cubic root of 10064232 is about 215.9037637138.

It can be divided in two parts, 10064 and 232, that added together give a triangular number (10296 = T143).

The spelling of 10064232 in words is "ten million, sixty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1237 1356 2034 2474 2712 3711 4068 4948 7422 8136 9896 11133 14844 22266 29688 44532 89064 139781 279562 419343 559124 838686 1118248 1258029 1677372 2516058 3354744 5032116 10064232