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7940240 = 2457111289
BaseRepresentation
bin11110010010100010010000
3112221101221222
4132102202100
54013041430
6442104212
7124330250
oct36224220
915841858
107940240
114533690
1227ab068
131850189
1410a9960
15a6c9e5
hex792890

7940240 has 80 divisors (see below), whose sum is σ = 23034240. Its totient is φ = 2472960.

The previous prime is 7940239. The next prime is 7940243. The reversal of 7940240 is 420497.

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

It is a super-2 number, since 2×79402402 = 126094822515200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7940243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5516 + ... + 6804.

It is an arithmetic number, because the mean of its divisors is an integer number (287928).

Almost surely, 27940240 is an apocalyptic number.

7940240 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 7940240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11517120).

7940240 is an abundant number, since it is smaller than the sum of its proper divisors (15094000).

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

7940240 is a wasteful number, since it uses less digits than its factorization.

7940240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 7940240 is about 2817.8431468057. The cubic root of 7940240 is about 199.5007548081.

The spelling of 7940240 in words is "seven million, nine hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1289 1540 2578 3080 5156 6160 6445 9023 10312 12890 14179 18046 20624 25780 28358 36092 45115 51560 56716 70895 72184 90230 99253 103120 113432 141790 144368 180460 198506 226864 283580 360920 397012 496265 567160 721840 794024 992530 1134320 1588048 1985060 3970120 7940240