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10121040 = 2432514057
BaseRepresentation
bin100110100110…
…111101010000
3201001012110100
4212212331100
510042333130
61000532400
7152012256
oct46467520
921035410
1010121040
1157930a6
123481100
1321349a7
1414b65d6
15d4dc60
hex9a6f50

10121040 has 60 divisors (see below), whose sum is σ = 33992244. Its totient is φ = 2698752.

The previous prime is 10121009. The next prime is 10121063. The reversal of 10121040 is 4012101.

It is a happy number.

10121040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1617984 + 8503056 = 1272^2 + 2916^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6309 + ... + 7748.

Almost surely, 210121040 is an apocalyptic number.

10121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121040 is an abundant number, since it is smaller than the sum of its proper divisors (23871204).

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

10121040 is a wasteful number, since it uses less digits than its factorization.

10121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14076 (or 14067 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10121040 is about 3181.3582005175. The cubic root of 10121040 is about 216.3092278768.

Adding to 10121040 its reverse (4012101), we get a palindrome (14133141).

The spelling of 10121040 in words is "ten million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 14057 28114 42171 56228 70285 84342 112456 126513 140570 168684 210855 224912 253026 281140 337368 421710 506052 562280 632565 674736 843420 1012104 1124560 1265130 1686840 2024208 2530260 3373680 5060520 10121040