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39097920 = 2635139293
BaseRepresentation
bin1001010100100…
…1011001000000
32201120101021010
42111021121000
540002113140
63514000520
7653220051
oct225113100
981511233
1039097920
1120084934
1211116140
13813c084
14529a728
153674880
hex2549640

39097920 has 112 divisors (see below), whose sum is σ = 125455680. Its totient is φ = 10315776.

The previous prime is 39097837. The next prime is 39097939. The reversal of 39097920 is 2979093.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133294 + ... + 133586.

It is an arithmetic number, because the mean of its divisors is an integer number (1120140).

Almost surely, 239097920 is an apocalyptic number.

39097920 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 39097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62727840).

39097920 is an abundant number, since it is smaller than the sum of its proper divisors (86357760).

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

39097920 is a wasteful number, since it uses less digits than its factorization.

39097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 39097920 is about 6252.8329579479. The cubic root of 39097920 is about 339.4047254096.

The spelling of 39097920 in words is "thirty-nine million, ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 139 160 192 240 278 293 320 417 480 556 586 695 834 879 960 1112 1172 1390 1465 1668 1758 2085 2224 2344 2780 2930 3336 3516 4170 4395 4448 4688 5560 5860 6672 7032 8340 8790 8896 9376 11120 11720 13344 14064 16680 17580 18752 22240 23440 26688 28128 33360 35160 40727 44480 46880 56256 66720 70320 81454 93760 122181 133440 140640 162908 203635 244362 281280 325816 407270 488724 610905 651632 814540 977448 1221810 1303264 1629080 1954896 2443620 2606528 3258160 3909792 4887240 6516320 7819584 9774480 13032640 19548960 39097920