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2047144080 = 243517539467
BaseRepresentation
bin111101000000100…
…1111000010010000
312021200001200202010
41322001033002100
513143032102310
6535045222520
7101505303042
oct17201170220
95250050663
102047144080
11960617713
12491701a40
13268172877
14155c4ba92
15beac6320
hex7a04f090

2047144080 has 160 divisors (see below), whose sum is σ = 6846954624. Its totient is φ = 504045568.

The previous prime is 2047144039. The next prime is 2047144081. The reversal of 2047144080 is 804417402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2047144081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211507 + ... + 220973.

Almost surely, 22047144080 is an apocalyptic number.

2047144080 is a gapful number since it is divisible by the number (20) 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 2047144080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423477312).

2047144080 is an abundant number, since it is smaller than the sum of its proper divisors (4799810544).

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

2047144080 is a wasteful number, since it uses less digits than its factorization.

2047144080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9553 (or 9547 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 2047144080 is about 45245.3763383619. The cubic root of 2047144080 is about 1269.7439043830.

The spelling of 2047144080 in words is "two billion, forty-seven million, one hundred forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 53 60 68 80 85 102 106 120 136 159 170 204 212 240 255 265 272 318 340 408 424 510 530 636 680 795 816 848 901 1020 1060 1272 1360 1590 1802 2040 2120 2544 2703 3180 3604 4080 4240 4505 5406 6360 7208 9010 9467 10812 12720 13515 14416 18020 18934 21624 27030 28401 36040 37868 43248 47335 54060 56802 72080 75736 94670 108120 113604 142005 151472 160939 189340 216240 227208 284010 321878 378680 454416 482817 501751 568020 643756 757360 804695 965634 1003502 1136040 1287512 1505253 1609390 1931268 2007004 2272080 2414085 2508755 2575024 3010506 3218780 3862536 4014008 4828170 5017510 6021012 6437560 7526265 7725072 8028016 8529767 9656340 10035020 12042024 12875120 15052530 17059534 19312680 20070040 24084048 25589301 30105060 34119068 38625360 40140080 42648835 51178602 60210120 68238136 85297670 102357204 120420240 127946505 136476272 170595340 204714408 255893010 341190680 409428816 511786020 682381360 1023572040 2047144080