Search a number
-
+
1001056014 = 232712496361
BaseRepresentation
bin111011101010101…
…110011100001110
32120202122220200200
4323222232130032
54022232243024
6243200034330
733543556440
oct7352563416
92522586620
101001056014
11474085222
1223b3029a6
1312c519a4a
1496d44490
155cd3e2c9
hex3baae70e

1001056014 has 48 divisors (see below), whose sum is σ = 2481180000. Its totient is φ = 285742080.

The previous prime is 1001055989. The next prime is 1001056087. The reversal of 1001056014 is 4106501001.

1001056014 is a `hidden beast` number, since 100 + 1 + 0 + 560 + 1 + 4 = 666.

It is a super-2 number, since 2×10010560142 = 2004226286331136392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154194 + ... + 160554.

It is an arithmetic number, because the mean of its divisors is an integer number (51691250).

Almost surely, 21001056014 is an apocalyptic number.

1001056014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1001056014 is an abundant number, since it is smaller than the sum of its proper divisors (1480123986).

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

1001056014 is a wasteful number, since it uses less digits than its factorization.

1001056014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7625 (or 7622 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1001056014 is about 31639.4692433359. The cubic root of 1001056014 is about 1000.3518808320.

Adding to 1001056014 its reverse (4106501001), we get a palindrome (5107557015).

The spelling of 1001056014 in words is "one billion, one million, fifty-six thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1249 2498 3747 6361 7494 8743 11241 12722 17486 19083 22482 26229 38166 44527 52458 57249 78687 89054 114498 133581 157374 267162 400743 801486 7944889 15889778 23834667 47669334 55614223 71504001 111228446 143008002 166842669 333685338 500528007 1001056014