Search a number
-
+
126020030640 = 24357222747207
BaseRepresentation
bin111010101011101100…
…0010001000010110000
3110001021112220212001020
41311113120101002300
54031042111440030
6133520502335440
712050615405100
oct1652730210260
9401245825036
10126020030640
1149499027259
122050ba2a580
13bb6447748a
146156a8b200
153428748510
hex1d576110b0

126020030640 has 240 divisors, whose sum is σ = 456455284992. Its totient is φ = 28677078528.

The previous prime is 126020030621. The next prime is 126020030683. The reversal of 126020030640 is 46030020621.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 126020030640.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2645917 + ... + 2693123.

Almost surely, 2126020030640 is an apocalyptic number.

126020030640 is a gapful number since it is divisible by the number (10) 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 126020030640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228227642496).

126020030640 is an abundant number, since it is smaller than the sum of its proper divisors (330435254352).

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

126020030640 is a wasteful number, since it uses less digits than its factorization.

126020030640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47464 (or 47451 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 126020030640 in words is "one hundred twenty-six billion, twenty million, thirty thousand, six hundred forty".