Search a number
-
+
1090000640 = 285978779
BaseRepresentation
bin100000011111000…
…0001011100000000
32210222000202210002
41000332001130000
54213020010030
6300054255132
736003565301
oct10076013400
92728022702
101090000640
1150a305683
122650574a8
13144a8c4c1
14a4a987a8
1565a5d245
hex40f81700

1090000640 has 72 divisors (see below), whose sum is σ = 2638109040. Its totient is φ = 431456256.

The previous prime is 1090000627. The next prime is 1090000651. The reversal of 1090000640 is 460000901.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119771 + ... + 128549.

Almost surely, 21090000640 is an apocalyptic number.

1090000640 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 1090000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319054520).

1090000640 is an abundant number, since it is smaller than the sum of its proper divisors (1548108400).

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

1090000640 is an frugal number, since it uses more digits than its factorization.

1090000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8897 (or 8883 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1090000640 is about 33015.1577309575. The cubic root of 1090000640 is about 1029.1426679938.

The spelling of 1090000640 in words is "one billion, ninety million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 256 320 388 485 640 776 970 1280 1552 1940 3104 3880 6208 7760 8779 12416 15520 17558 24832 31040 35116 43895 62080 70232 87790 124160 140464 175580 280928 351160 561856 702320 851563 1123712 1404640 1703126 2247424 2809280 3406252 4257815 5618560 6812504 8515630 11237120 13625008 17031260 27250016 34062520 54500032 68125040 109000064 136250080 218000128 272500160 545000320 1090000640