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1004322140 = 2251923151761
BaseRepresentation
bin111011110111001…
…011110101011100
32120222210211222022
4323313023311130
54024101302030
6243354035312
733613411613
oct7367136534
92528724868
101004322140
11475a060a8
12240418b38
131300c1573
149755487a
155d286de5
hex3bdcbd5c

1004322140 has 96 divisors (see below), whose sum is σ = 2335011840. Its totient is φ = 361152000.

The previous prime is 1004322139. The next prime is 1004322157. The reversal of 1004322140 is 412234001.

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, 1319360 + ... + 1320120.

It is an arithmetic number, because the mean of its divisors is an integer number (24323040).

Almost surely, 21004322140 is an apocalyptic number.

1004322140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004322140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167505920).

1004322140 is an abundant number, since it is smaller than the sum of its proper divisors (1330689700).

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

1004322140 is a wasteful number, since it uses less digits than its factorization.

1004322140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1004322140 is about 31691.0419519460. The cubic root of 1004322140 is about 1001.4386426481.

Adding to 1004322140 its reverse (412234001), we get a palindrome (1416556141).

The spelling of 1004322140 in words is "one billion, four million, three hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 151 190 230 302 380 437 460 604 755 761 874 1510 1522 1748 2185 2869 3020 3044 3473 3805 4370 5738 6946 7610 8740 11476 13892 14345 14459 15220 17365 17503 28690 28918 34730 35006 57380 57836 65987 69460 70012 72295 87515 114911 131974 144590 175030 229822 263948 289180 329935 332557 350060 459644 574555 659870 665114 1149110 1319740 1330228 1662785 2183309 2298220 2642953 3325570 4366618 5285906 6651140 8733236 10571812 10916545 13214765 21833090 26429530 43666180 50216107 52859060 100432214 200864428 251080535 502161070 1004322140