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1321475004 = 2232197127211
BaseRepresentation
bin100111011000100…
…0001101110111100
310102002120212220200
41032301001232330
510201244200004
6335043443500
744514231543
oct11661015674
93362525820
101321475004
11618a35803
1230a686590
13180a16895
14c771115a
157b033239
hex4ec41bbc

1321475004 has 72 divisors (see below), whose sum is σ = 3565860480. Its totient is φ = 411415200.

The previous prime is 1321475003. The next prime is 1321475039. The reversal of 1321475004 is 4005741231.

1321475004 is a `hidden beast` number, since 13 + 2 + 147 + 500 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321475003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34959 + ... + 62169.

It is an arithmetic number, because the mean of its divisors is an integer number (49525840).

Almost surely, 21321475004 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 1321475004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782930240).

1321475004 is an abundant number, since it is smaller than the sum of its proper divisors (2244385476).

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

1321475004 is a wasteful number, since it uses less digits than its factorization.

1321475004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27311 (or 27306 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1321475004 is about 36352.0976561188. The cubic root of 1321475004 is about 1097.3697498857.

The spelling of 1321475004 in words is "one billion, three hundred twenty-one million, four hundred seventy-five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 71 76 114 142 171 213 228 284 342 426 639 684 852 1278 1349 2556 2698 4047 5396 8094 12141 16188 24282 27211 48564 54422 81633 108844 163266 244899 326532 489798 517009 979596 1034018 1551027 1931981 2068036 3102054 3863962 4653081 5795943 6204108 7727924 9306162 11591886 17387829 18612324 23183772 34775658 36707639 69551316 73415278 110122917 146830556 220245834 330368751 440491668 660737502 1321475004