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667072420 = 225722920807
BaseRepresentation
bin100111110000101…
…011011110100100
31201111012210022221
4213300223132210
52331232304140
6150105402124
722350010360
oct4760533644
91644183287
10667072420
113125aa423
12167499344
13a8280a11
14648462a0
153d86b14a
hex27c2b7a4

667072420 has 48 divisors (see below), whose sum is σ = 1608042240. Its totient is φ = 227700864.

The previous prime is 667072361. The next prime is 667072421. The reversal of 667072420 is 24270766.

667072420 = 1162 + 1172 + ... + 12602.

It is a super-2 number, since 2×6670724202 = 889971227049312800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (667072421) 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, 21657 + ... + 42463.

It is an arithmetic number, because the mean of its divisors is an integer number (33500880).

Almost surely, 2667072420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667072420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804021120).

667072420 is an abundant number, since it is smaller than the sum of its proper divisors (940969820).

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

667072420 is a wasteful number, since it uses less digits than its factorization.

667072420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21052 (or 21050 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 667072420 is about 25827.7451590339. The cubic root of 667072420 is about 873.7576578856.

The spelling of 667072420 in words is "six hundred sixty-seven million, seventy-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 229 458 916 1145 1603 2290 3206 4580 6412 8015 16030 20807 32060 41614 83228 104035 145649 208070 291298 416140 582596 728245 1456490 2912980 4764803 9529606 19059212 23824015 33353621 47648030 66707242 95296060 133414484 166768105 333536210 667072420