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2134137720 = 23351113124367
BaseRepresentation
bin111111100110100…
…0101101101111000
312111201202102120210
41333031011231320
513332314401340
6551433551120
7103612604601
oct17715055570
95451672523
102134137720
119a5735290
124b68754a0
132801b12b0
14163614da8
15c755c180
hex7f345b78

2134137720 has 128 divisors (see below), whose sum is σ = 7521776640. Its totient is φ = 477565440.

The previous prime is 2134137683. The next prime is 2134137739. The reversal of 2134137720 is 277314312.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45024 + ... + 79343.

It is an arithmetic number, because the mean of its divisors is an integer number (58763880).

Almost surely, 22134137720 is an apocalyptic number.

2134137720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134137720 is an abundant number, since it is smaller than the sum of its proper divisors (5387638920).

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

2134137720 is a wasteful number, since it uses less digits than its factorization.

2134137720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124405 (or 124401 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 2134137720 is about 46196.7284555952. The cubic root of 2134137720 is about 1287.4809563903.

The spelling of 2134137720 in words is "two billion, one hundred thirty-four million, one hundred thirty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 8580 17160 124367 248734 373101 497468 621835 746202 994936 1243670 1368037 1492404 1616771 1865505 2487340 2736074 2984808 3233542 3731010 4104111 4850313 4974680 5472148 6467084 6840185 7462020 8083855 8208222 9700626 10944296 12934168 13680370 14924040 16167710 16416444 17784481 19401252 20520555 24251565 27360740 32335420 32832888 35568962 38802504 41041110 48503130 53353443 54721480 64670840 71137924 82082220 88922405 97006260 106706886 142275848 164164440 177844810 194012520 213413772 266767215 355689620 426827544 533534430 711379240 1067068860 2134137720