Search a number
-
+
1005380724 = 223373316841
BaseRepresentation
bin111011111011001…
…110010001110100
32121001210122002010
4323323032101310
54024334140344
6243432444220
733625411065
oct7373162164
92531718063
101005380724
11476569467
12240849670
131303a234a
149774c56c
155d3e58b9
hex3bece474

1005380724 has 48 divisors (see below), whose sum is σ = 2416922816. Its totient is φ = 325036800.

The previous prime is 1005380693. The next prime is 1005380737. The reversal of 1005380724 is 4270835001.

It is a junction number, because it is equal to n+sod(n) for n = 1005380691 and 1005380700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143544 + ... + 150384.

Almost surely, 21005380724 is an apocalyptic number.

It is an amenable number.

1005380724 is an abundant number, since it is smaller than the sum of its proper divisors (1411542092).

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

1005380724 is a wasteful number, since it uses less digits than its factorization.

1005380724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7216 (or 7214 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1005380724 is about 31707.7391814680. The cubic root of 1005380724 is about 1001.7903673385.

The spelling of 1005380724 in words is "one billion, five million, three hundred eighty thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 331 444 662 993 1324 1986 3972 6841 12247 13682 20523 24494 27364 36741 41046 48988 73482 82092 146964 253117 506234 759351 1012468 1518702 2264371 3037404 4528742 6793113 9057484 13586226 27172452 83781727 167563454 251345181 335126908 502690362 1005380724