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674265020 = 2251113431547
BaseRepresentation
bin101000001100000…
…111011110111100
31201222202012201112
4220030013132330
52340102440040
6150523501152
722465105142
oct5014073674
91658665645
10674265020
11316672320
121699877b8
13a98cb7b0
1465799592
153e2dc365
hex283077bc

674265020 has 96 divisors (see below), whose sum is σ = 1670409216. Its totient is φ = 225388800.

The previous prime is 674264959. The next prime is 674265029. The reversal of 674265020 is 20562476.

674265020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674265029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1232387 + ... + 1232933.

It is an arithmetic number, because the mean of its divisors is an integer number (17400096).

Almost surely, 2674265020 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 674265020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835204608).

674265020 is an abundant number, since it is smaller than the sum of its proper divisors (996144196).

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

674265020 is a wasteful number, since it uses less digits than its factorization.

674265020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 674265020 is about 25966.6135643445. The cubic root of 674265020 is about 876.8868214565.

The spelling of 674265020 in words is "six hundred seventy-four million, two hundred sixty-five thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 431 547 572 715 862 1094 1430 1724 2155 2188 2735 2860 4310 4741 5470 5603 6017 7111 8620 9482 10940 11206 12034 14222 18964 22412 23705 24068 28015 28444 30085 35555 47410 56030 60170 61633 71110 78221 94820 112060 120340 123266 142220 156442 235757 246532 308165 312884 391105 471514 616330 782210 943028 1178785 1232660 1564420 2357570 2593327 3064841 4715140 5186654 6129682 10373308 12259364 12966635 15324205 25933270 30648410 33713251 51866540 61296820 67426502 134853004 168566255 337132510 674265020