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1007010004 = 2271113251501
BaseRepresentation
bin111100000001011…
…100000011010100
32121011212102000211
4330001130003110
54030243310004
6243531415204
733645305140
oct7401340324
92534772024
101007010004
11477481580
122412b4504
13130822b10
1497a54220
155d618504
hex3c05c0d4

1007010004 has 48 divisors (see below), whose sum is σ = 2366130816. Its totient is φ = 362160000.

The previous prime is 1007010001. The next prime is 1007010029. The reversal of 1007010004 is 4000107001.

It is a super-3 number, since 3×10070100043 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007010001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121747 + ... + 129754.

It is an arithmetic number, because the mean of its divisors is an integer number (49294392).

Almost surely, 21007010004 is an apocalyptic number.

1007010004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1007010004 is an abundant number, since it is smaller than the sum of its proper divisors (1359120812).

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

1007010004 is a wasteful number, since it uses less digits than its factorization.

1007010004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251536 (or 251534 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 1007010004 is about 31733.4209312516. The cubic root of 1007010004 is about 1002.3312291475.

Adding to 1007010004 its reverse (4000107001), we get a palindrome (5007117005).

The spelling of 1007010004 in words is "one billion, seven million, ten thousand, four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 251501 503002 1006004 1760507 2766511 3269513 3521014 5533022 6539026 7042028 11066044 13078052 19365577 22886591 35964643 38731154 45773182 71929286 77462308 91546364 143858572 251752501 503505002 1007010004