Search a number
-
+
2077399280 = 2451131271281
BaseRepresentation
bin111101111010010…
…1001100011110000
312100202222211002002
41323310221203300
513223303234110
6542045513132
7102323413445
oct17364514360
95322884062
102077399280
11976701910
1249b8727a8
13271506a58
14159c859cc
15c25a0aa5
hex7bd298f0

2077399280 has 160 divisors (see below), whose sum is σ = 5478506496. Its totient is φ = 725760000.

The previous prime is 2077399231. The next prime is 2077399301. The reversal of 2077399280 is 829937702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7392740 + ... + 7393020.

Almost surely, 22077399280 is an apocalyptic number.

2077399280 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 2077399280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739253248).

2077399280 is an abundant number, since it is smaller than the sum of its proper divisors (3401107216).

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

2077399280 is a wasteful number, since it uses less digits than its factorization.

2077399280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 47.

The square root of 2077399280 is about 45578.4958066850. The cubic root of 2077399280 is about 1275.9686152335.

The spelling of 2077399280 in words is "two billion, seventy-seven million, three hundred ninety-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 271 281 310 341 440 496 542 562 620 682 880 1084 1124 1240 1355 1364 1405 1705 2168 2248 2480 2710 2728 2810 2981 3091 3410 4336 4496 5420 5456 5620 5962 6182 6820 8401 8711 10840 11240 11924 12364 13640 14905 15455 16802 17422 21680 22480 23848 24728 27280 29810 30910 33604 34844 42005 43555 47696 49456 59620 61820 67208 69688 76151 84010 87110 92411 95821 119240 123640 134416 139376 152302 168020 174220 184822 191642 238480 247280 304604 336040 348440 369644 380755 383284 462055 479105 609208 672080 696880 739288 761510 766568 837661 924110 958210 1218416 1478576 1523020 1533136 1675322 1848220 1916420 2360681 3046040 3350644 3696440 3832840 4188305 4721362 6092080 6701288 7392880 7665680 8376610 9442724 11803405 13402576 16753220 18885448 23606810 25967491 33506440 37770896 47213620 51934982 67012880 94427240 103869964 129837455 188854480 207739928 259674910 415479856 519349820 1038699640 2077399280