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1210400040 = 233544322769
BaseRepresentation
bin100100000100101…
…0011110100101000
310010100120200201010
41020021103310220
54434330300130
6320035023520
741665142043
oct11011236450
93110520633
101210400040
1157126a513
1229943aba0
131639c6155
14b6a79c5a
15713e20b0
hex48253d28

1210400040 has 64 divisors (see below), whose sum is σ = 3639556800. Its totient is φ = 322030592.

The previous prime is 1210400029. The next prime is 1210400063. The reversal of 1210400040 is 400040121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1210399989 and 1210400025.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41776 + ... + 64544.

It is an arithmetic number, because the mean of its divisors is an integer number (56868075).

Almost surely, 21210400040 is an apocalyptic number.

1210400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1210400040 is an abundant number, since it is smaller than the sum of its proper divisors (2429156760).

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

1210400040 is a wasteful number, since it uses less digits than its factorization.

1210400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23226 (or 23222 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1210400040 is about 34790.8039573678. The cubic root of 1210400040 is about 1065.7196573036.

Adding to 1210400040 its reverse (400040121), we get a palindrome (1610440161).

The spelling of 1210400040 in words is "one billion, two hundred ten million, four hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 443 886 1329 1772 2215 2658 3544 4430 5316 6645 8860 10632 13290 17720 22769 26580 45538 53160 68307 91076 113845 136614 182152 227690 273228 341535 455380 546456 683070 910760 1366140 2732280 10086667 20173334 30260001 40346668 50433335 60520002 80693336 100866670 121040004 151300005 201733340 242080008 302600010 403466680 605200020 1210400040