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2139630480 = 2432513228593
BaseRepresentation
bin111111110001000…
…0010101110010000
312112010002111020100
41333202002232100
513340221133410
6552151412400
7104010362511
oct17742025620
95463074210
102139630480
119a8847059
124b8684100
13281385450
14164244a08
15c7c948c0
hex7f882b90

2139630480 has 120 divisors (see below), whose sum is σ = 7738364088. Its totient is φ = 526675968.

The previous prime is 2139630473. The next prime is 2139630481. The reversal of 2139630480 is 840369312.

2139630480 is a `hidden beast` number, since 2 + 13 + 9 + 630 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55890576 + 2083739904 = 7476^2 + 45648^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (2139630481) 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, 104937 + ... + 123656.

Almost surely, 22139630480 is an apocalyptic number.

2139630480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2139630480 is an abundant number, since it is smaller than the sum of its proper divisors (5598733608).

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

2139630480 is a wasteful number, since it uses less digits than its factorization.

2139630480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228625 (or 228616 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2139630480 is about 46256.1399167721. The cubic root of 2139630480 is about 1288.5845661263.

Adding to 2139630480 its reverse (840369312), we get a palindrome (2979999792).

The spelling of 2139630480 in words is "two billion, one hundred thirty-nine million, six hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 228593 457186 685779 914372 1142965 1371558 1828744 2057337 2285930 2743116 2971709 3428895 3657488 4114674 4571860 5486232 5943418 6857790 8229348 8915127 9143720 10286685 10972464 11886836 13715580 14858545 16458696 17830254 18287440 20573370 23773672 26745381 27431160 29717090 32917392 35660508 41146740 44575635 47547344 53490762 54862320 59434180 71321016 82293480 89151270 106981524 118868360 133726905 142642032 164586960 178302540 213963048 237736720 267453810 356605080 427926096 534907620 713210160 1069815240 2139630480