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1427155040 = 25523937321
BaseRepresentation
bin101010100010000…
…1010100001100000
310200110102222200002
41111010022201200
510410322430130
6353340515132
750236421603
oct12504124140
93613388602
101427155040
11672656783
12339b4baa8
1319989884c
14d778033a
158545ab45
hex5510a860

1427155040 has 48 divisors (see below), whose sum is σ = 3385851840. Its totient is φ = 568458240.

The previous prime is 1427155039. The next prime is 1427155061. The reversal of 1427155040 is 405517241.

It is a junction number, because it is equal to n+sod(n) for n = 1427154994 and 1427155012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19580 + ... + 56900.

It is an arithmetic number, because the mean of its divisors is an integer number (70538580).

Almost surely, 21427155040 is an apocalyptic number.

1427155040 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 1427155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692925920).

1427155040 is an abundant number, since it is smaller than the sum of its proper divisors (1958696800).

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

1427155040 is a wasteful number, since it uses less digits than its factorization.

1427155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37575 (or 37567 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 1427155040 is about 37777.7055947023. The cubic root of 1427155040 is about 1125.8755429496.

The spelling of 1427155040 in words is "one billion, four hundred twenty-seven million, one hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 239 478 956 1195 1912 2390 3824 4780 7648 9560 19120 37321 38240 74642 149284 186605 298568 373210 597136 746420 1194272 1492840 2985680 5971360 8919719 17839438 35678876 44598595 71357752 89197190 142715504 178394380 285431008 356788760 713577520 1427155040