Search a number
-
+
2399074128 = 2432113148857
BaseRepresentation
bin1000111011111110…
…1111011101010000
320012012021121000100
42032333233131100
514403130333003
61034020252400
7113310536133
oct21677573520
96165247010
102399074128
11102123a9a0
1256b541100
132c30533b9
1418a89c21a
15e0941ba3
hex8efef750

2399074128 has 120 divisors (see below), whose sum is σ = 7560873216. Its totient is φ = 703526400.

The previous prime is 2399074127. The next prime is 2399074141. The reversal of 2399074128 is 8214709932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2399074127) 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, 24676 + ... + 73532.

Almost surely, 22399074128 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 2399074128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780436608).

2399074128 is an abundant number, since it is smaller than the sum of its proper divisors (5161799088).

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

2399074128 is a wasteful number, since it uses less digits than its factorization.

2399074128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48913 (or 48904 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2399074128 is about 48980.3443025873. The cubic root of 2399074128 is about 1338.6937087908.

The spelling of 2399074128 in words is "two billion, three hundred ninety-nine million, seventy-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 248 264 279 341 372 396 496 528 558 682 744 792 1023 1116 1364 1488 1584 2046 2232 2728 3069 4092 4464 5456 6138 8184 12276 16368 24552 48857 49104 97714 146571 195428 293142 390856 439713 537427 586284 781712 879426 1074854 1172568 1514567 1612281 1758852 2149708 2345136 3029134 3224562 3517704 4299416 4543701 4836843 6058268 6449124 7035408 8598832 9087402 9673686 12116536 12898248 13631103 16660237 18174804 19347372 24233072 25796496 27262206 33320474 36349608 38694744 49980711 54524412 66640948 72699216 77389488 99961422 109048824 133281896 149942133 199922844 218097648 266563792 299884266 399845688 599768532 799691376 1199537064 2399074128