Search a number
-
+
7390080 = 273251283
BaseRepresentation
bin11100001100001110000000
3111220110021200
4130030032000
53342440310
6422221200
7116546265
oct34141600
914813250
107390080
114198305
122584800
1316b9939
14da526c
159ae9c0
hex70c380

7390080 has 96 divisors (see below), whose sum is σ = 25538760. Its totient is φ = 1969152.

The previous prime is 7390079. The next prime is 7390081. The reversal of 7390080 is 800937.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7390079) and next prime (7390081).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×73900802 = 109226564812800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7390081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5119 + ... + 6401.

Almost surely, 27390080 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 7390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12769380).

7390080 is an abundant number, since it is smaller than the sum of its proper divisors (18148680).

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

7390080 is a wasteful number, since it uses less digits than its factorization.

7390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 7390080 is about 2718.4701580117. The cubic root of 7390080 is about 194.7824002697.

The spelling of 7390080 in words is "seven million, three hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1283 1440 1920 2566 2880 3849 5132 5760 6415 7698 10264 11547 12830 15396 19245 20528 23094 25660 30792 38490 41056 46188 51320 57735 61584 76980 82112 92376 102640 115470 123168 153960 164224 184752 205280 230940 246336 307920 369504 410560 461880 492672 615840 739008 821120 923760 1231680 1478016 1847520 2463360 3695040 7390080