Search a number
-
+
2142592380 = 2232519626489
BaseRepresentation
bin111111110110101…
…0101110101111100
312112022122222012100
41333231111311330
513342000424010
6552335105100
7104044510005
oct17755256574
95468588170
102142592380
119aa48a405
124b9672190
13281b81656
141647b61ac
15c817c2c0
hex7fb55d7c

2142592380 has 72 divisors (see below), whose sum is σ = 6841270800. Its totient is φ = 541285632.

The previous prime is 2142592379. The next prime is 2142592409. The reversal of 2142592380 is 832952412.

It is a happy number.

2142592380 is a `hidden beast` number, since 21 + 4 + 259 + 2 + 380 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309825 + ... + 316664.

It is an arithmetic number, because the mean of its divisors is an integer number (95017650).

Almost surely, 22142592380 is an apocalyptic number.

2142592380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142592380 is an abundant number, since it is smaller than the sum of its proper divisors (4698678420).

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

2142592380 is a wasteful number, since it uses less digits than its factorization.

2142592380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626523 (or 626518 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2142592380 is about 46288.1451345806. The cubic root of 2142592380 is about 1289.1788897531.

The spelling of 2142592380 in words is "two billion, one hundred forty-two million, five hundred ninety-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 626489 1252978 1879467 2505956 3132445 3758934 5638401 6264890 7517868 9397335 11276802 11903291 12529780 18794670 22553604 23806582 28192005 35709873 37589340 47613164 56384010 59516455 71419746 107129619 112768020 119032910 142839492 178549365 214259238 238065820 357098730 428518476 535648095 714197460 1071296190 2142592380