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5880214440 = 2334517910139
BaseRepresentation
bin1010111100111110…
…01111001110101000
3120011210122211210000
411132133033032220
544020313330230
62411253223000
7265500666222
oct53637171650
916153584700
105880214440
112548256161
121181331a60
13729318639
143dad4b412
15246375b60
hex15e7cf3a8

5880214440 has 160 divisors (see below), whose sum is σ = 19876428000. Its totient is φ = 1559143296.

The previous prime is 5880214429. The next prime is 5880214441. The reversal of 5880214440 is 444120885.

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

It is a junction number, because it is equal to n+sod(n) for n = 5880214395 and 5880214404.

It is not an unprimeable number, because it can be changed into a prime (5880214441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 574891 + ... + 585029.

It is an arithmetic number, because the mean of its divisors is an integer number (124227675).

Almost surely, 25880214440 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 5880214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9938214000).

5880214440 is an abundant number, since it is smaller than the sum of its proper divisors (13996213560).

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

5880214440 is a wasteful number, since it uses less digits than its factorization.

5880214440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10341 (or 10328 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 5880214440 is about 76682.5562954183. The cubic root of 5880214440 is about 1804.9467263789.

The spelling of 5880214440 in words is "five billion, eight hundred eighty million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 179 180 216 270 324 358 360 405 537 540 648 716 810 895 1074 1080 1432 1611 1620 1790 2148 2685 3222 3240 3580 4296 4833 5370 6444 7160 8055 9666 10139 10740 12888 14499 16110 19332 20278 21480 24165 28998 30417 32220 38664 40556 48330 50695 57996 60834 64440 72495 81112 91251 96660 101390 115992 121668 144990 152085 182502 193320 202780 243336 273753 289980 304170 365004 405560 456255 547506 579960 608340 730008 821259 912510 1095012 1216680 1368765 1642518 1814881 1825020 2190024 2737530 3285036 3629762 3650040 4106295 5444643 5475060 6570072 7259524 8212590 9074405 10889286 10950120 14519048 16333929 16425180 18148810 21778572 27223215 32667858 32850360 36297620 43557144 49001787 54446430 65335716 72595240 81669645 98003574 108892860 130671432 147005361 163339290 196007148 217785720 245008935 294010722 326678580 392014296 490017870 588021444 653357160 735026805 980035740 1176042888 1470053610 1960071480 2940107220 5880214440