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10040778 = 232111719157
BaseRepresentation
bin100110010011…
…010111001010
3200220010100200
4212103113022
510032301103
6555113030
7151226256
oct46232712
920803320
1010040778
115738870
123442776
1321072b7
141495266
15d350a3
hex9935ca

10040778 has 96 divisors (see below), whose sum is σ = 26619840. Its totient is φ = 2695680.

The previous prime is 10040741. The next prime is 10040791. The reversal of 10040778 is 87704001.

10040778 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63876 + ... + 64032.

It is an arithmetic number, because the mean of its divisors is an integer number (277290).

Almost surely, 210040778 is an apocalyptic number.

10040778 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13309920).

10040778 is an abundant number, since it is smaller than the sum of its proper divisors (16579062).

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

10040778 is a wasteful number, since it uses less digits than its factorization.

10040778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 10040778 is about 3168.7186684842. The cubic root of 10040778 is about 215.7359169739.

Adding to 10040778 its reverse (87704001), we get a palindrome (97744779).

The spelling of 10040778 in words is "ten million, forty thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 9 11 17 18 19 22 33 34 38 51 57 66 99 102 114 153 157 171 187 198 209 306 314 323 342 374 418 471 561 627 646 942 969 1122 1254 1413 1683 1727 1881 1938 2669 2826 2907 2983 3366 3454 3553 3762 5181 5338 5814 5966 7106 8007 8949 10362 10659 15543 16014 17898 21318 24021 26847 29359 31086 31977 32813 48042 50711 53694 58718 63954 65626 88077 98439 101422 152133 176154 196878 264231 295317 304266 456399 528462 557821 590634 912798 1115642 1673463 3346926 5020389 10040778