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20074640 = 2451947281
BaseRepresentation
bin100110010010…
…1000010010000
31101202220020012
41030211002100
520114342030
61554134052
7332426435
oct114450220
941686205
1020074640
1110371413
126881328
13420b3b1
142947b8c
151b68095
hex1325090

20074640 has 80 divisors (see below), whose sum is σ = 50353920. Its totient is φ = 7418880.

The previous prime is 20074619. The next prime is 20074643. The reversal of 20074640 is 4647002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×200746402 = 805982342259200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20074643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71300 + ... + 71580.

It is an arithmetic number, because the mean of its divisors is an integer number (629424).

Almost surely, 220074640 is an apocalyptic number.

20074640 is a gapful number since it is divisible by the number (20) 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 20074640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25176960).

20074640 is an abundant number, since it is smaller than the sum of its proper divisors (30279280).

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

20074640 is a wasteful number, since it uses less digits than its factorization.

20074640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 20074640 is about 4480.4731892960. The cubic root of 20074640 is about 271.7790160139.

The spelling of 20074640 in words is "twenty million, seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 47 76 80 94 95 152 188 190 235 281 304 376 380 470 562 752 760 893 940 1124 1405 1520 1786 1880 2248 2810 3572 3760 4465 4496 5339 5620 7144 8930 10678 11240 13207 14288 17860 21356 22480 26414 26695 35720 42712 52828 53390 66035 71440 85424 105656 106780 132070 211312 213560 250933 264140 427120 501866 528280 1003732 1056560 1254665 2007464 2509330 4014928 5018660 10037320 20074640