Search a number
-
+
2070581952 = 26353283719
BaseRepresentation
bin111101101101010…
…1001001011000000
312100022011110110110
41323122221023000
513220032110302
6541243431320
7102211441035
oct17332511300
95308143413
102070581952
1197287595a
12499525540
1326cc8aa2a
14158dcd38c
15c1ba5b6c
hex7b6a92c0

2070581952 has 112 divisors (see below), whose sum is σ = 5609295360. Its totient is φ = 673840128.

The previous prime is 2070581951. The next prime is 2070581971. The reversal of 2070581952 is 2591850702.

It is a super-3 number, since 3×20705819523 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2070581952.

It is not an unprimeable number, because it can be changed into a prime (2070581951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2879449 + ... + 2880167.

Almost surely, 22070581952 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 2070581952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804647680).

2070581952 is an abundant number, since it is smaller than the sum of its proper divisors (3538713408).

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

2070581952 is a wasteful number, since it uses less digits than its factorization.

2070581952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 2070581952 is about 45503.6476779609. The cubic root of 2070581952 is about 1274.5713185528.

The spelling of 2070581952 in words is "two billion, seventy million, five hundred eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 283 318 424 566 636 719 848 849 1132 1272 1438 1696 1698 2157 2264 2544 2876 3392 3396 4314 4528 5088 5752 6792 8628 9056 10176 11504 13584 14999 17256 18112 23008 27168 29998 34512 38107 44997 46016 54336 59996 69024 76214 89994 114321 119992 138048 152428 179988 203477 228642 239984 304856 359976 406954 457284 479968 609712 610431 719952 813908 914568 959936 1219424 1220862 1439904 1627816 1829136 2438848 2441724 2879808 3255632 3658272 4883448 6511264 7316544 9766896 10784281 13022528 19533792 21568562 32352843 39067584 43137124 64705686 86274248 129411372 172548496 258822744 345096992 517645488 690193984 1035290976 2070581952