Search a number
-
+
1052990720 = 2859072
BaseRepresentation
bin111110110000110…
…101110100000000
32201101101110201022
4332300311310000
54124031200340
6252253125012
735044162535
oct7660656400
92641343638
101052990720
114a0427571
12254789768
1313a201942
149dbc2d8c
156269c3b5
hex3ec35d00

1052990720 has 54 divisors (see below), whose sum is σ = 2525025762. Its totient is φ = 420731904.

The previous prime is 1052990717. The next prime is 1052990749. The reversal of 1052990720 is 270992501.

It can be written as a sum of positive squares in only one way, i.e., 842392576 + 210598144 = 29024^2 + 14512^2 .

It is a super-2 number, since 2×10529907202 = 2217578912812236800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1160507 + ... + 1161413.

Almost surely, 21052990720 is an apocalyptic number.

1052990720 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 1052990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262512881).

1052990720 is an abundant number, since it is smaller than the sum of its proper divisors (1472035042).

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

1052990720 is an frugal number, since it uses more digits than its factorization.

1052990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 1052990720 is about 32449.8184894769. The cubic root of 1052990720 is about 1017.3604442495.

The spelling of 1052990720 in words is "one billion, fifty-two million, nine hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 907 1280 1814 3628 4535 7256 9070 14512 18140 29024 36280 58048 72560 116096 145120 232192 290240 580480 822649 1160960 1645298 3290596 4113245 6581192 8226490 13162384 16452980 26324768 32905960 52649536 65811920 105299072 131623840 210598144 263247680 526495360 1052990720