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10388490 = 2357237191
BaseRepresentation
bin100111101000…
…010000001010
3201112210022220
4213220100022
510124412430
61010354510
7154205100
oct47502012
921483286
1010388490
115956032
12358ba36
1321c9648
141545c70
15da3110
hex9e840a

10388490 has 96 divisors (see below), whose sum is σ = 29942784. Its totient is φ = 2298240.

The previous prime is 10388489. The next prime is 10388491. The reversal of 10388490 is 9488301.

It is an interprime number because it is at equal distance from previous prime (10388489) and next prime (10388491).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10388491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54295 + ... + 54485.

It is an arithmetic number, because the mean of its divisors is an integer number (311904).

Almost surely, 210388490 is an apocalyptic number.

10388490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10388490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14971392).

10388490 is an abundant number, since it is smaller than the sum of its proper divisors (19554294).

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

10388490 is a wasteful number, since it uses less digits than its factorization.

10388490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 10388490 is about 3223.1180555481. The cubic root of 10388490 is about 218.1980216817.

It can be divided in two parts, 10388 and 490, that added together give a triangular number (10878 = T147).

The spelling of 10388490 in words is "ten million, three hundred eighty-eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 49 70 74 98 105 111 147 185 191 210 222 245 259 294 370 382 490 518 555 573 735 777 955 1110 1146 1295 1337 1470 1554 1813 1910 2590 2674 2865 3626 3885 4011 5439 5730 6685 7067 7770 8022 9065 9359 10878 13370 14134 18130 18718 20055 21201 27195 28077 35335 40110 42402 46795 49469 54390 56154 70670 93590 98938 106005 140385 148407 212010 247345 280770 296814 346283 494690 692566 742035 1038849 1484070 1731415 2077698 3462830 5194245 10388490