Search a number
-
+
1427624130 = 2351714918787
BaseRepresentation
bin101010100010111…
…1101000011000010
310200111022211010210
41111011331003002
510410432433010
6353354534550
750243414322
oct12505750302
93614284123
101427624130
11672947159
1233a137456
13199a0120a
14d7863282
15854eeb20
hex5517d0c2

1427624130 has 64 divisors (see below), whose sum is σ = 3652387200. Its totient is φ = 355881984.

The previous prime is 1427624119. The next prime is 1427624161. The reversal of 1427624130 is 314267241.

It is a super-2 number, since 2×14276241302 = 4076221313116513800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66597 + ... + 85383.

It is an arithmetic number, because the mean of its divisors is an integer number (57068550).

Almost surely, 21427624130 is an apocalyptic number.

1427624130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1427624130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826193600).

1427624130 is an abundant number, since it is smaller than the sum of its proper divisors (2224763070).

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

1427624130 is a wasteful number, since it uses less digits than its factorization.

1427624130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18963.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1427624130 is about 37783.9136405958. The cubic root of 1427624130 is about 1125.9988836962.

The spelling of 1427624130 in words is "one billion, four hundred twenty-seven million, six hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 149 170 255 298 447 510 745 894 1490 2235 2533 4470 5066 7599 12665 15198 18787 25330 37574 37995 56361 75990 93935 112722 187870 281805 319379 563610 638758 958137 1596895 1916274 2799263 3193790 4790685 5598526 8397789 9581370 13996315 16795578 27992630 41988945 47587471 83977890 95174942 142762413 237937355 285524826 475874710 713812065 1427624130