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94082040 = 23335136701
BaseRepresentation
bin1011001101110…
…01001111111000
320120000212022000
411212321033320
5143041111130
613200301000
72221453443
oct546711770
9216025260
1094082040
114911a258
1227611760
1316650c60
14c6d065a
1583d6260
hex59b93f8

94082040 has 128 divisors (see below), whose sum is σ = 337780800. Its totient is φ = 23155200.

The previous prime is 94082039. The next prime is 94082041. The reversal of 94082040 is 4028049.

It is an interprime number because it is at equal distance from previous prime (94082039) and next prime (94082041).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 94081995 and 94082013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94082041) 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, 10690 + ... + 17390.

Almost surely, 294082040 is an apocalyptic number.

94082040 is a gapful number since it is divisible by the number (90) 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 94082040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168890400).

94082040 is an abundant number, since it is smaller than the sum of its proper divisors (243698760).

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

94082040 is a wasteful number, since it uses less digits than its factorization.

94082040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6734 (or 6724 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 94082040 is about 9699.5896820433. The cubic root of 94082040 is about 454.8158333681.

The spelling of 94082040 in words is "ninety-four million, eighty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 6701 7020 13402 14040 20103 26804 33505 40206 53608 60309 67010 80412 87113 100515 120618 134020 160824 174226 180927 201030 241236 261339 268040 301545 348452 361854 402060 435565 482472 522678 603090 696904 723708 784017 804120 871130 904635 1045356 1206180 1306695 1447416 1568034 1742260 1809270 2090712 2352051 2412360 2613390 3136068 3484520 3618540 3920085 4704102 5226780 6272136 7237080 7840170 9408204 10453560 11760255 15680340 18816408 23520510 31360680 47041020 94082040