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10901040 = 243553857
BaseRepresentation
bin101001100101…
…011000110000
3202111211102020
4221211120300
510242313130
61025351440
7161441313
oct51453060
922454366
1010901040
116176127
123798580
132348a27
14163a97a
15e54e10
hexa65630

10901040 has 80 divisors (see below), whose sum is σ = 34471008. Its totient is φ = 2848768.

The previous prime is 10901027. The next prime is 10901069. The reversal of 10901040 is 4010901.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12292 + ... + 13148.

Almost surely, 210901040 is an apocalyptic number.

10901040 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 10901040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235504).

10901040 is an abundant number, since it is smaller than the sum of its proper divisors (23569968).

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

10901040 is a wasteful number, since it uses less digits than its factorization.

10901040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 10901040 is about 3301.6723035456. The cubic root of 10901040 is about 221.7290745820.

Adding to 10901040 its reverse (4010901), we get a palindrome (14911941).

The spelling of 10901040 in words is "ten million, nine hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 857 1060 1272 1590 1714 2120 2544 2571 3180 3428 4240 4285 5142 6360 6856 8570 10284 12720 12855 13712 17140 20568 25710 34280 41136 45421 51420 68560 90842 102840 136263 181684 205680 227105 272526 363368 454210 545052 681315 726736 908420 1090104 1362630 1816840 2180208 2725260 3633680 5450520 10901040