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675209040 = 243511223251
BaseRepresentation
bin101000001111101…
…101111101010000
31202001112011200020
4220033231331100
52340323142130
6151000023440
722506116322
oct5017557520
91661464606
10675209040
11317157600
1216a161b80
13a9b6c39c
1465963612
153e426e10
hex283edf50

675209040 has 120 divisors (see below), whose sum is σ = 2300831904. Its totient is φ = 163680000.

The previous prime is 675209027. The next prime is 675209053. The reversal of 675209040 is 40902576.

It is an interprime number because it is at equal distance from previous prime (675209027) and next prime (675209053).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (33) 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 (33).

It is a junction number, because it is equal to n+sod(n) for n = 675208992 and 675209010.

It is a congruent number.

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, 17415 + ... + 40665.

Almost surely, 2675209040 is an apocalyptic number.

675209040 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 675209040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150415952).

675209040 is an abundant number, since it is smaller than the sum of its proper divisors (1625622864).

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

675209040 is a wasteful number, since it uses less digits than its factorization.

675209040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23289 (or 23272 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 675209040 is about 25984.7847787893. The cubic root of 675209040 is about 877.2958656981.

The spelling of 675209040 in words is "six hundred seventy-five million, two hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1210 1320 1452 1815 1936 2420 2640 2904 3630 4840 5808 7260 9680 14520 23251 29040 46502 69753 93004 116255 139506 186008 232510 255761 279012 348765 372016 465020 511522 558024 697530 767283 930040 1023044 1116048 1278805 1395060 1534566 1860080 2046088 2557610 2790120 2813371 3069132 3836415 4092176 5115220 5580240 5626742 6138264 7672830 8440113 10230440 11253484 12276528 14066855 15345660 16880226 20460880 22506968 28133710 30691320 33760452 42200565 45013936 56267420 61382640 67520904 84401130 112534840 135041808 168802260 225069680 337604520 675209040