Search a number
-
+
420704232 = 233131970969
BaseRepresentation
bin11001000100110…
…110111111101000
31002022121222201020
4121010312333220
51330200013412
6105425052440
713265632644
oct3104667750
91068558636
10420704232
111a6527353
12b8a87120
1369210420
143dc33c24
1526e0318c
hex19136fe8

420704232 has 64 divisors (see below), whose sum is σ = 1192296000. Its totient is φ = 122632704.

The previous prime is 420704231. The next prime is 420704233. The reversal of 420704232 is 232407024.

It is an interprime number because it is at equal distance from previous prime (420704231) and next prime (420704233).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (420704231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29557 + ... + 41412.

It is an arithmetic number, because the mean of its divisors is an integer number (18629625).

Almost surely, 2420704232 is an apocalyptic number.

It is an amenable number.

420704232 is an abundant number, since it is smaller than the sum of its proper divisors (771591768).

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

420704232 is a wasteful number, since it uses less digits than its factorization.

420704232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71010 (or 71006 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 420704232 is about 20511.0758372154. The cubic root of 420704232 is about 749.3055687744.

The spelling of 420704232 in words is "four hundred twenty million, seven hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 5928 70969 141938 212907 283876 425814 567752 851628 922597 1348411 1703256 1845194 2696822 2767791 3690388 4045233 5393644 5535582 7380776 8090466 10787288 11071164 16180932 17529343 22142328 32361864 35058686 52588029 70117372 105176058 140234744 210352116 420704232