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39946740 = 22351967523
BaseRepresentation
bin1001100001100…
…0100111110100
32210011111121220
42120120213310
540211243430
63544110340
7663353541
oct230304764
983144556
1039946740
1120604639
12114653b0
138378532
14543bbc8
153791110
hex26189f4

39946740 has 96 divisors (see below), whose sum is σ = 119723520. Its totient is φ = 9922176.

The previous prime is 39946729. The next prime is 39946763. The reversal of 39946740 is 4764993.

It is a junction number, because it is equal to n+sod(n) for n = 39946692 and 39946701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76119 + ... + 76641.

It is an arithmetic number, because the mean of its divisors is an integer number (1247120).

Almost surely, 239946740 is an apocalyptic number.

39946740 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 39946740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59861760).

39946740 is an abundant number, since it is smaller than the sum of its proper divisors (79776780).

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

39946740 is a wasteful number, since it uses less digits than its factorization.

39946740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 39946740 is about 6320.3433451040. The cubic root of 39946740 is about 341.8433330516.

The spelling of 39946740 in words is "thirty-nine million, nine hundred forty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 67 76 95 114 134 190 201 228 268 285 335 380 402 523 570 670 804 1005 1046 1140 1273 1340 1569 2010 2092 2546 2615 3138 3819 4020 5092 5230 6276 6365 7638 7845 9937 10460 12730 15276 15690 19095 19874 25460 29811 31380 35041 38190 39748 49685 59622 70082 76380 99370 105123 119244 140164 149055 175205 198740 210246 298110 350410 420492 525615 596220 665779 700820 1051230 1331558 1997337 2102460 2663116 3328895 3994674 6657790 7989348 9986685 13315580 19973370 39946740