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1070177004 = 2232131031492
BaseRepresentation
bin111111110010011…
…001101011101100
32202120201121212100
4333302121223230
54142431131004
6254105335100
735343232401
oct7762315354
92676647770
101070177004
114aa0a5906
1225a497490
1314093b440
14a21b82a8
1563e44739
hex3fc99aec

1070177004 has 108 divisors (see below), whose sum is σ = 2961418096. Its totient is φ = 323899776.

The previous prime is 1070176999. The next prime is 1070177021. The reversal of 1070177004 is 4007710701.

It is a super-2 number, since 2×10701770042 = 2290557639780832032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7182322 + ... + 7182470.

Almost surely, 21070177004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1070177004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480709048).

1070177004 is an abundant number, since it is smaller than the sum of its proper divisors (1891241092).

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

1070177004 is a wasteful number, since it uses less digits than its factorization.

1070177004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 1070177004 is about 32713.5599407952. The cubic root of 1070177004 is about 1022.8655178207.

Adding to 1070177004 its reverse (4007710701), we get a palindrome (5077887705).

The spelling of 1070177004 in words is "one billion, seventy million, one hundred seventy-seven thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 103 117 149 156 206 234 298 309 412 447 468 596 618 894 927 1236 1339 1341 1788 1854 1937 2678 2682 3708 3874 4017 5356 5364 5811 7748 8034 11622 12051 15347 16068 17433 22201 23244 24102 30694 34866 44402 46041 48204 61388 66603 69732 88804 92082 133206 138123 184164 199511 199809 266412 276246 288613 399022 399618 552492 577226 598533 798044 799236 865839 1154452 1197066 1731678 1795599 2286703 2394132 2597517 3463356 3591198 4573406 5195034 6860109 7182396 9146812 10390068 13720218 20580327 27440436 29727139 41160654 59454278 82321308 89181417 118908556 178362834 267544251 356725668 535088502 1070177004