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7400007080 = 235732699421
BaseRepresentation
bin1101110010001001…
…10010010110101000
3201002201102022100022
412321010302112220
5110123400211310
63222143500012
7351244010444
oct67104622650
921081368308
107400007080
113158124934
1215262b7608
1390c14a81b
14502b23824
152d49cea55
hex1b91325a8

7400007080 has 64 divisors (see below), whose sum is σ = 16942640400. Its totient is φ = 2908293120.

The previous prime is 7400007031. The next prime is 7400007137. The reversal of 7400007080 is 807000047.

It can be written as a sum of positive squares in 8 ways, for example, as 1101045124 + 6298961956 = 33182^2 + 79366^2 .

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, 780770 + ... + 790190.

Almost surely, 27400007080 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 7400007080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8471320200).

7400007080 is an abundant number, since it is smaller than the sum of its proper divisors (9542633320).

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

7400007080 is a wasteful number, since it uses less digits than its factorization.

7400007080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9774 (or 9770 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 7400007080 is about 86023.2938220805. The cubic root of 7400007080 is about 1948.6957818502.

The spelling of 7400007080 in words is "seven billion, four hundred million, seven thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 73 146 269 292 365 538 584 730 1076 1345 1460 2152 2690 2920 5380 9421 10760 18842 19637 37684 39274 47105 75368 78548 94210 98185 157096 188420 196370 376840 392740 687733 785480 1375466 2534249 2750932 3438665 5068498 5501864 6877330 10136996 12671245 13754660 20273992 25342490 27509320 50684980 101369960 185000177 370000354 740000708 925000885 1480001416 1850001770 3700003540 7400007080