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423132240 = 243510317117
BaseRepresentation
bin11001001110000…
…111110001010000
31002111012100022110
4121032013301100
51331310212430
6105553105320
713325364456
oct3116076120
91074170273
10423132240
111a7935573
12b9858240
136988060b
14402a69d6
15272327b0
hex19387c50

423132240 has 80 divisors (see below), whose sum is σ = 1324522368. Its totient is φ = 111733248.

The previous prime is 423132197. The next prime is 423132251. The reversal of 423132240 is 42231324.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16162 + ... + 33278.

Almost surely, 2423132240 is an apocalyptic number.

423132240 is a gapful number since it is divisible by the number (40) 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 423132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662261184).

423132240 is an abundant number, since it is smaller than the sum of its proper divisors (901390128).

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

423132240 is a wasteful number, since it uses less digits than its factorization.

423132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17236 (or 17230 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 423132240 is about 20570.1784143940. The cubic root of 423132240 is about 750.7442922389.

Adding to 423132240 its reverse (42231324), we get a palindrome (465363564).

The spelling of 423132240 in words is "four hundred twenty-three million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2472 3090 4120 4944 6180 8240 12360 17117 24720 34234 51351 68468 85585 102702 136936 171170 205404 256755 273872 342340 410808 513510 684680 821616 1027020 1369360 1763051 2054040 3526102 4108080 5289153 7052204 8815255 10578306 14104408 17630510 21156612 26445765 28208816 35261020 42313224 52891530 70522040 84626448 105783060 141044080 211566120 423132240