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201359004 = 22371131801
BaseRepresentation
bin11000000000001…
…11111010011100
3112000220002121220
430000013322130
5403021442004
631551453340
74663344330
oct1400077234
9460802556
10201359004
11a3731000
1257527250
1332941a52
141ca577c0
1512a26dd9
hexc007e9c

201359004 has 96 divisors (see below), whose sum is σ = 590940672. Its totient is φ = 52272000.

The previous prime is 201358973. The next prime is 201359021. The reversal of 201359004 is 400953102.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110904 + ... + 112704.

It is an arithmetic number, because the mean of its divisors is an integer number (6155632).

Almost surely, 2201359004 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 201359004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295470336).

201359004 is an abundant number, since it is smaller than the sum of its proper divisors (389581668).

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

201359004 is a wasteful number, since it uses less digits than its factorization.

201359004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 201359004 is about 14190.1023252125. The cubic root of 201359004 is about 586.1251426599.

The spelling of 201359004 in words is "two hundred one million, three hundred fifty-nine thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1331 1452 1694 1801 2541 2662 3388 3602 3993 5082 5324 5403 7204 7986 9317 10164 10806 12607 15972 18634 19811 21612 25214 27951 37268 37821 39622 50428 55902 59433 75642 79244 111804 118866 138677 151284 217921 237732 277354 416031 435842 554708 653763 832062 871684 1307526 1525447 1664124 2397131 2615052 3050894 4576341 4794262 6101788 7191393 9152682 9588524 14382786 16779917 18305364 28765572 33559834 50339751 67119668 100679502 201359004