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7490161840 = 245737935291
BaseRepresentation
bin1101111100111001…
…01100110010110000
3201100000001122102111
412332130230302300
5110314440134330
63235124055104
7353420216350
oct67634546260
921300048374
107490161840
1131a40014a7
121550534494
13924a25035
14510ab0b60
152dc88c32a
hex1be72ccb0

7490161840 has 80 divisors (see below), whose sum is σ = 19955508480. Its totient is φ = 2561207040.

The previous prime is 7490161831. The next prime is 7490161883. The reversal of 7490161840 is 481610947.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×74901618402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 7490161793 and 7490161802.

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, 194595 + ... + 229885.

It is an arithmetic number, because the mean of its divisors is an integer number (249443856).

Almost surely, 27490161840 is an apocalyptic number.

7490161840 is a gapful number since it is divisible by the number (70) 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 7490161840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9977754240).

7490161840 is an abundant number, since it is smaller than the sum of its proper divisors (12465346640).

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

7490161840 is a wasteful number, since it uses less digits than its factorization.

7490161840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35690 (or 35684 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 7490161840 is about 86545.7210958462. The cubic root of 7490161840 is about 1956.5775550889.

The spelling of 7490161840 in words is "seven billion, four hundred ninety million, one hundred sixty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 379 560 758 1516 1895 2653 3032 3790 5306 6064 7580 10612 13265 15160 21224 26530 30320 35291 42448 53060 70582 106120 141164 176455 212240 247037 282328 352910 494074 564656 705820 988148 1235185 1411640 1976296 2470370 2823280 3952592 4940740 9881480 13375289 19762960 26750578 53501156 66876445 93627023 107002312 133752890 187254046 214004624 267505780 374508092 468135115 535011560 749016184 936270230 1070023120 1498032368 1872540460 3745080920 7490161840