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7993980 = 2232589499
BaseRepresentation
bin11110011111101001111100
3120001010200100
4132133221330
54021301410
6443201100
7124643031
oct36375174
916033610
107993980
11456aaa5
122816190
13186b787
1410c1388
15a7d8c0
hex79fa7c

7993980 has 72 divisors (see below), whose sum is σ = 24570000. Its totient is φ = 2103552.

The previous prime is 7993967. The next prime is 7993987. The reversal of 7993980 is 893997.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7993987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15771 + ... + 16269.

It is an arithmetic number, because the mean of its divisors is an integer number (341250).

Almost surely, 27993980 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 7993980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12285000).

7993980 is an abundant number, since it is smaller than the sum of its proper divisors (16576020).

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

7993980 is a wasteful number, since it uses less digits than its factorization.

7993980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 7993980 is about 2827.3627287633. The cubic root of 7993980 is about 199.9498207446.

The spelling of 7993980 in words is "seven million, nine hundred ninety-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 499 534 801 890 998 1068 1335 1497 1602 1780 1996 2495 2670 2994 3204 4005 4491 4990 5340 5988 7485 8010 8982 9980 14970 16020 17964 22455 29940 44411 44910 88822 89820 133233 177644 222055 266466 399699 444110 532932 666165 799398 888220 1332330 1598796 1998495 2664660 3996990 7993980