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10274940 = 22325134391
BaseRepresentation
bin100111001100…
…100001111100
3201100000120100
4213030201330
510112244230
61004121100
7153223044
oct47144174
921300510
1010274940
115888795
123536190
132189a60
141516724
15d7e660
hex9cc87c

10274940 has 72 divisors (see below), whose sum is σ = 33572448. Its totient is φ = 2528640.

The previous prime is 10274923. The next prime is 10274941. The reversal of 10274940 is 4947201.

It is a happy number.

10274940 is nontrivially palindromic in base 8.

10274940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10274941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145 + ... + 4535.

It is an arithmetic number, because the mean of its divisors is an integer number (466284).

Almost surely, 210274940 is an apocalyptic number.

10274940 is a gapful number since it is divisible by the number (10) 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 10274940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16786224).

10274940 is an abundant number, since it is smaller than the sum of its proper divisors (23297508).

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

10274940 is a wasteful number, since it uses less digits than its factorization.

10274940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4419 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10274940 is about 3205.4547259320. The cubic root of 10274940 is about 217.4001126750.

The spelling of 10274940 in words is "ten million, two hundred seventy-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4391 8782 13173 17564 21955 26346 39519 43910 52692 57083 65865 79038 87820 114166 131730 158076 171249 197595 228332 263460 285415 342498 395190 513747 570830 684996 790380 856245 1027494 1141660 1712490 2054988 2568735 3424980 5137470 10274940