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5920290720 = 2532531132623
BaseRepresentation
bin1011000001110000…
…00111011110100000
3120021121001221002200
411200320013132200
544111043300340
62415244213200
7266465432541
oct54070073640
916247057080
105920290720
112568939053
12119283a200
1373470ab06
144023c04c8
15249b40330
hex160e077a0

5920290720 has 144 divisors (see below), whose sum is σ = 20854858752. Its totient is φ = 1527805440.

The previous prime is 5920290703. The next prime is 5920290721. The reversal of 5920290720 is 270920295.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5920290721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21672 + ... + 110951.

It is an arithmetic number, because the mean of its divisors is an integer number (144825408).

Almost surely, 25920290720 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 5920290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10427429376).

5920290720 is an abundant number, since it is smaller than the sum of its proper divisors (14934568032).

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

5920290720 is a wasteful number, since it uses less digits than its factorization.

5920290720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132675 (or 132664 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 5920290720 is about 76943.4254501319. The cubic root of 5920290720 is about 1809.0379511430.

The spelling of 5920290720 in words is "five billion, nine hundred twenty million, two hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 11160 14880 22320 44640 132623 265246 397869 530492 663115 795738 1060984 1193607 1326230 1591476 1989345 2121968 2387214 2652460 3182952 3978690 4111313 4243936 4774428 5304920 5968035 6365904 7957380 8222626 9548856 10609840 11936070 12333939 12731808 15914760 16445252 19097712 20556565 21219680 23872140 24667878 31829520 32890504 37001817 38195424 41113130 47744280 49335756 61669695 63659040 65781008 74003634 82226260 95488560 98671512 123339390 131562016 148007268 164452520 185009085 190977120 197343024 246678780 296014536 328905040 370018170 394686048 493357560 592029072 657810080 740036340 986715120 1184058144 1480072680 1973430240 2960145360 5920290720