Search a number
-
+
10700004 = 22371759127
BaseRepresentation
bin101000110100…
…010011100100
3202010121122110
4220310103210
510214400004
61021201020
7156643230
oct50642344
922117573
1010700004
116049087
123700170
1322a8383
1415c75c0
15e15589
hexa344e4

10700004 has 96 divisors (see below), whose sum is σ = 30965760. Its totient is φ = 2806272.

The previous prime is 10699979. The next prime is 10700023. The reversal of 10700004 is 40000701.

It is a super-2 number, since 2×107000042 = 228980171200032, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84189 + ... + 84315.

It is an arithmetic number, because the mean of its divisors is an integer number (322560).

Almost surely, 210700004 is an apocalyptic number.

10700004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10700004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482880).

10700004 is an abundant number, since it is smaller than the sum of its proper divisors (20265756).

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

10700004 is a wasteful number, since it uses less digits than its factorization.

10700004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 10700004 is about 3271.0860581770. The cubic root of 10700004 is about 220.3575727810.

Adding to 10700004 its reverse (40000701), we get a palindrome (50700705).

The spelling of 10700004 in words is "ten million, seven hundred thousand, four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 59 68 84 102 118 119 127 177 204 236 238 254 354 357 381 413 476 508 708 714 762 826 889 1003 1239 1428 1524 1652 1778 2006 2159 2478 2667 3009 3556 4012 4318 4956 5334 6018 6477 7021 7493 8636 10668 12036 12954 14042 14986 15113 21063 22479 25908 28084 29972 30226 42126 44958 45339 52451 60452 84252 89916 90678 104902 127381 157353 181356 209804 254762 314706 382143 509524 629412 764286 891667 1528572 1783334 2675001 3566668 5350002 10700004