Search a number
-
+
1246073940 = 223256922633
BaseRepresentation
bin100101001000101…
…1001010001010100
310012211201010002200
41022101121101110
510022443331230
6323351404500
742610311426
oct11221312124
93184633080
101246073940
1158a415881
122a9383730
1316b206877
14bb6c4816
15745dc160
hex4a459454

1246073940 has 36 divisors (see below), whose sum is σ = 3779758164. Its totient is φ = 332286336.

The previous prime is 1246073893. The next prime is 1246073951. The reversal of 1246073940 is 493706421.

1246073940 is a `hidden beast` number, since 1 + 2 + 4 + 607 + 3 + 9 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 870722064 + 375351876 = 29508^2 + 19374^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1246073895 and 1246073904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3461137 + ... + 3461496.

Almost surely, 21246073940 is an apocalyptic number.

1246073940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1246073940 is an abundant number, since it is smaller than the sum of its proper divisors (2533684224).

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

1246073940 is a wasteful number, since it uses less digits than its factorization.

1246073940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6922648 (or 6922643 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1246073940 is about 35299.7725205135. The cubic root of 1246073940 is about 1076.0883702290.

The spelling of 1246073940 in words is "one billion, two hundred forty-six million, seventy-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6922633 13845266 20767899 27690532 34613165 41535798 62303697 69226330 83071596 103839495 124607394 138452660 207678990 249214788 311518485 415357980 623036970 1246073940