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84074040 = 23325409571
BaseRepresentation
bin1010000001011…
…01111000111000
312212012101220100
411000231320320
5133010332130
612201555400
72040421551
oct500557070
9185171810
1084074040
1143504086
12241a5b60
131455886b
14b247328
1575aac60
hex502de38

84074040 has 96 divisors (see below), whose sum is σ = 274388400. Its totient is φ = 22325760.

The previous prime is 84074033. The next prime is 84074047. The reversal of 84074040 is 4047048.

It is an interprime number because it is at equal distance from previous prime (84074033) and next prime (84074047).

It is a junction number, because it is equal to n+sod(n) for n = 84073995 and 84074013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84074047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146955 + ... + 147525.

Almost surely, 284074040 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 84074040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137194200).

84074040 is an abundant number, since it is smaller than the sum of its proper divisors (190314360).

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

84074040 is a wasteful number, since it uses less digits than its factorization.

84074040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 84074040 is about 9169.1897133825. The cubic root of 84074040 is about 438.0805506448.

The spelling of 84074040 in words is "eighty-four million, seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 409 571 818 1142 1227 1636 1713 2045 2284 2454 2855 3272 3426 3681 4090 4568 4908 5139 5710 6135 6852 7362 8180 8565 9816 10278 11420 12270 13704 14724 16360 17130 18405 20556 22840 24540 25695 29448 34260 36810 41112 49080 51390 68520 73620 102780 147240 205560 233539 467078 700617 934156 1167695 1401234 1868312 2101851 2335390 2802468 3503085 4203702 4670780 5604936 7006170 8407404 9341560 10509255 14012340 16814808 21018510 28024680 42037020 84074040