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730412640 = 2534556359
BaseRepresentation
bin101011100010010…
…011011001100000
31212220101210210000
4223202103121200
52443441201030
6200251140000
724046255626
oct5342233140
91786353700
10730412640
11345331911
12184744600
13b842a139
146d013516
15441cd860
hex2b893660

730412640 has 120 divisors (see below), whose sum is σ = 2577793680. Its totient is φ = 194773248.

The previous prime is 730412629. The next prime is 730412651. The reversal of 730412640 is 46214037.

730412640 is a `hidden beast` number, since 7 + 3 + 0 + 4 + 12 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (730412629) and next prime (730412651).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15220 + ... + 41139.

It is an arithmetic number, because the mean of its divisors is an integer number (21481614).

Almost surely, 2730412640 is an apocalyptic number.

It is an amenable number.

730412640 is an abundant number, since it is smaller than the sum of its proper divisors (1847381040).

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

730412640 is a wasteful number, since it uses less digits than its factorization.

730412640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56386 (or 56369 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 730412640 is about 27026.1473391973. The cubic root of 730412640 is about 900.5809582388.

Adding to 730412640 its reverse (46214037), we get a palindrome (776626677).

The spelling of 730412640 in words is "seven hundred thirty million, four hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 56359 112718 169077 225436 281795 338154 450872 507231 563590 676308 845385 901744 1014462 1127180 1352616 1521693 1690770 1803488 2028924 2254360 2536155 2705232 3043386 3381540 4057848 4508720 4565079 5072310 5410464 6086772 6763080 7608465 8115696 9017440 9130158 10144620 12173544 13526160 15216930 16231392 18260316 20289240 22825395 24347088 27052320 30433860 36520632 40578480 45650790 48694176 60867720 73041264 81156960 91301580 121735440 146082528 182603160 243470880 365206320 730412640