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39790980 = 22335312377
BaseRepresentation
bin1001011111001…
…0100110000100
32202212120222000
42113302212010
540141302410
63540505300
7662134455
oct227624604
982776860
1039790980
1120508609
12113ab230
138322678
1453db12c
15375edc0
hex25f2984

39790980 has 96 divisors (see below), whose sum is σ = 127841280. Its totient is φ = 10264320.

The previous prime is 39790979. The next prime is 39790981. The reversal of 39790980 is 8909793.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (39790979) and next prime (39790981).

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

It is not an unprimeable number, because it can be changed into a prime (39790981) 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, 15552 + ... + 17928.

It is an arithmetic number, because the mean of its divisors is an integer number (1331680).

Almost surely, 239790980 is an apocalyptic number.

39790980 is a gapful number since it is divisible by the number (30) 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 39790980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63920640).

39790980 is an abundant number, since it is smaller than the sum of its proper divisors (88050300).

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

39790980 is a wasteful number, since it uses less digits than its factorization.

39790980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2418 counting only the distinct ones).

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

The square root of 39790980 is about 6308.0091946667. The cubic root of 39790980 is about 341.3984500842.

The spelling of 39790980 in words is "thirty-nine million, seven hundred ninety thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2377 2790 3348 4185 4754 5580 7131 8370 9508 11885 14262 16740 21393 23770 28524 35655 42786 47540 64179 71310 73687 85572 106965 128358 142620 147374 213930 221061 256716 294748 320895 368435 427860 442122 641790 663183 736870 884244 1105305 1283580 1326366 1473740 1989549 2210610 2652732 3315915 3979098 4421220 6631830 7958196 9947745 13263660 19895490 39790980