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73420704 = 2532779461
BaseRepresentation
bin1000110000001…
…00111110100000
312010011011021100
410120010332200
5122243430304
611141354400
71551031350
oct430047640
9163134240
1073420704
1138498075
1220708a00
1312298806
149a72b60
1566a4439
hex4604fa0

73420704 has 144 divisors (see below), whose sum is σ = 242161920. Its totient is φ = 20666880.

The previous prime is 73420667. The next prime is 73420727. The reversal of 73420704 is 40702437.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159034 + ... + 159494.

It is an arithmetic number, because the mean of its divisors is an integer number (1681680).

Almost surely, 273420704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73420704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

73420704 is an abundant number, since it is smaller than the sum of its proper divisors (168741216).

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

73420704 is a wasteful number, since it uses less digits than its factorization.

73420704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 73420704 is about 8568.5882151029. The cubic root of 73420704 is about 418.7352428452.

The spelling of 73420704 in words is "seventy-three million, four hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 79 84 96 112 126 144 158 168 224 237 252 288 316 336 461 474 504 553 632 672 711 922 948 1008 1106 1264 1383 1422 1659 1844 1896 2016 2212 2528 2766 2844 3227 3318 3688 3792 4149 4424 4977 5532 5688 6454 6636 7376 7584 8298 8848 9681 9954 11064 11376 12908 13272 14752 16596 17696 19362 19908 22128 22752 25816 26544 29043 33192 36419 38724 39816 44256 51632 53088 58086 66384 72838 77448 79632 103264 109257 116172 132768 145676 154896 159264 218514 232344 254933 291352 309792 327771 437028 464688 509866 582704 655542 764799 874056 929376 1019732 1165408 1311084 1529598 1748112 2039464 2294397 2622168 3059196 3496224 4078928 4588794 5244336 6118392 8157856 9177588 10488672 12236784 18355176 24473568 36710352 73420704