Search a number
-
+
7625940 = 2235767271
BaseRepresentation
bin11101000101110011010100
3112100102211020
4131011303110
53423012230
6431241140
7121551030
oct35056324
915312736
107625940
114339533
1226791b0
1317700ba
1410271c0
15a09810
hex745cd4

7625940 has 96 divisors (see below), whose sum is σ = 24858624. Its totient is φ = 1710720.

The previous prime is 7625939. The next prime is 7625941. The reversal of 7625940 is 495267.

It is an interprime number because it is at equal distance from previous prime (7625939) and next prime (7625941).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7625941) 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, 28005 + ... + 28275.

It is an arithmetic number, because the mean of its divisors is an integer number (258944).

Almost surely, 27625940 is an apocalyptic number.

7625940 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 7625940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12429312).

7625940 is an abundant number, since it is smaller than the sum of its proper divisors (17232684).

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

7625940 is a wasteful number, since it uses less digits than its factorization.

7625940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 7625940 is about 2761.5104562540. The cubic root of 7625940 is about 196.8329469263.

The spelling of 7625940 in words is "seven million, six hundred twenty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 67 70 84 105 134 140 201 210 268 271 335 402 420 469 542 670 804 813 938 1005 1084 1340 1355 1407 1626 1876 1897 2010 2345 2710 2814 3252 3794 4020 4065 4690 5420 5628 5691 7035 7588 8130 9380 9485 11382 14070 16260 18157 18970 22764 28140 28455 36314 37940 54471 56910 72628 90785 108942 113820 127099 181570 217884 254198 272355 363140 381297 508396 544710 635495 762594 1089420 1270990 1525188 1906485 2541980 3812970 7625940