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412420194 = 233192983167
BaseRepresentation
bin11000100101010…
…000100001100010
31001202001010011000
4120211100201202
51321034421234
6104531332430
713135341144
oct3045204142
91052033130
10412420194
111a188943a
12b6151116
136759c924
143cab8c94
1526318899
hex18950862

412420194 has 128 divisors (see below), whose sum is σ = 1016064000. Its totient is φ = 123488064.

The previous prime is 412420171. The next prime is 412420201. The reversal of 412420194 is 491024214.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2469499 + ... + 2469665.

It is an arithmetic number, because the mean of its divisors is an integer number (7938000).

Almost surely, 2412420194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412420194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032000).

412420194 is an abundant number, since it is smaller than the sum of its proper divisors (603643806).

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

412420194 is a wasteful number, since it uses less digits than its factorization.

412420194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 412420194 is about 20308.1312286483. The cubic root of 412420194 is about 744.3547670712.

The spelling of 412420194 in words is "four hundred twelve million, four hundred twenty thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 27 29 38 54 57 58 83 87 114 166 167 171 174 249 261 334 342 498 501 513 522 551 747 783 1002 1026 1102 1494 1503 1566 1577 1653 2241 2407 3006 3154 3173 3306 4482 4509 4731 4814 4843 4959 6346 7221 9018 9462 9519 9686 9918 13861 14193 14442 14529 14877 19038 21663 27722 28386 28557 29058 29754 41583 42579 43326 43587 45733 57114 64989 83166 85158 85671 87174 91466 92017 124749 129978 130761 137199 171342 184034 249498 261522 263359 274398 276051 374247 401969 411597 526718 552102 748494 790077 803938 823194 828153 1205907 1234791 1580154 1656306 2370231 2411814 2469582 2484459 3617721 4740462 4968918 7110693 7235442 7637411 10853163 14221386 15274822 21706326 22912233 45824466 68736699 137473398 206210097 412420194