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672993630 = 23357513319
BaseRepresentation
bin101000000111010…
…001000101011110
31201220100121201000
4220013101011132
52334241244010
6150440331130
722451231361
oct5007210536
91656317630
10672993630
11315984091
12169473aa6
13a9574baa
14655480d8
153e13a7c0
hex281d115e

672993630 has 64 divisors (see below), whose sum is σ = 1797580800. Its totient is φ = 179172000.

The previous prime is 672993619. The next prime is 672993667. The reversal of 672993630 is 36399276.

672993630 is a `hidden beast` number, since 6 + 7 + 2 + 9 + 9 + 3 + 630 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 201111 + ... + 204429.

It is an arithmetic number, because the mean of its divisors is an integer number (28087200).

Almost surely, 2672993630 is an apocalyptic number.

672993630 is an abundant number, since it is smaller than the sum of its proper divisors (1124587170).

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

672993630 is a wasteful number, since it uses less digits than its factorization.

672993630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 672993630 is about 25942.1207691276. The cubic root of 672993630 is about 876.3353238675.

The spelling of 672993630 in words is "six hundred seventy-two million, nine hundred ninety-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 751 1502 2253 3319 3755 4506 6638 6759 7510 9957 11265 13518 16595 19914 20277 22530 29871 33190 33795 40554 49785 59742 67590 89613 99570 101385 149355 179226 202770 298710 448065 896130 2492569 4985138 7477707 12462845 14955414 22433121 24925690 37388535 44866242 67299363 74777070 112165605 134598726 224331210 336496815 672993630