Search a number
-
+
672090040 = 235194121569
BaseRepresentation
bin101000000011110…
…100011110111000
31201211122201012201
4220003310132320
52334023340130
6150405115544
722440446116
oct5003643670
91654581181
10672090040
11315417216
121690b8bb4
13a931981b
1465390ab6
153e00cbca
hex280f47b8

672090040 has 64 divisors (see below), whose sum is σ = 1630692000. Its totient is φ = 248463360.

The previous prime is 672090037. The next prime is 672090077. The reversal of 672090040 is 40090276.

It is a junction number, because it is equal to n+sod(n) for n = 672089990 and 672090008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20376 + ... + 41944.

Almost surely, 2672090040 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 672090040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815346000).

672090040 is an abundant number, since it is smaller than the sum of its proper divisors (958601960).

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

672090040 is a wasteful number, since it uses less digits than its factorization.

672090040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21640 (or 21636 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 672090040 is about 25924.6994196654. The cubic root of 672090040 is about 875.9429464590.

The spelling of 672090040 in words is "six hundred seventy-two million, ninety thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 41 76 82 95 152 164 190 205 328 380 410 760 779 820 1558 1640 3116 3895 6232 7790 15580 21569 31160 43138 86276 107845 172552 215690 409811 431380 819622 862760 884329 1639244 1768658 2049055 3278488 3537316 4098110 4421645 7074632 8196220 8843290 16392440 16802251 17686580 33604502 35373160 67209004 84011255 134418008 168022510 336045020 672090040