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670416840 = 233256130529
BaseRepresentation
bin100111111101011…
…011111111001000
31201201111201000100
4213331123333020
52333111314330
6150305205400
722420310022
oct4775337710
91651451010
10670416840
11314484105
12168630860
13a8b82072
1465077012
153dccc060
hex27f5bfc8

670416840 has 96 divisors (see below), whose sum is σ = 2214646200. Its totient is φ = 175841280.

The previous prime is 670416833. The next prime is 670416869. The reversal of 670416840 is 48614076.

It can be written as a sum of positive squares in 4 ways, for example, as 122014116 + 548402724 = 11046^2 + 23418^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 670416795 and 670416804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6696 + ... + 37224.

Almost surely, 2670416840 is an apocalyptic number.

670416840 is a gapful number since it is divisible by the number (60) 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 670416840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107323100).

670416840 is an abundant number, since it is smaller than the sum of its proper divisors (1544229360).

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

670416840 is a wasteful number, since it uses less digits than its factorization.

670416840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30607 (or 30600 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 670416840 is about 25892.4089261698. The cubic root of 670416840 is about 875.2154419157.

The spelling of 670416840 in words is "six hundred seventy million, four hundred sixteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 10980 21960 30529 61058 91587 122116 152645 183174 244232 274761 305290 366348 457935 549522 610580 732696 915870 1099044 1221160 1373805 1831740 1862269 2198088 2747610 3663480 3724538 5495220 5586807 7449076 9311345 10990440 11173614 14898152 16760421 18622690 22347228 27934035 33520842 37245380 44694456 55868070 67041684 74490760 83802105 111736140 134083368 167604210 223472280 335208420 670416840