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10301004 = 2232741997
BaseRepresentation
bin100111010010…
…111001001100
3201101100022200
4213102321030
510114113004
61004441500
7153362040
oct47227114
921340280
1010301004
1158a632a
123549290
13219888c
141522020
15d87239
hex9d2e4c

10301004 has 72 divisors (see below), whose sum is σ = 30514848. Its totient is φ = 2868480.

The previous prime is 10300999. The next prime is 10301017. The reversal of 10301004 is 40010301.

10301004 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103010042 = 212221366816032, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9834 + ... + 10830.

Almost surely, 210301004 is an apocalyptic number.

10301004 is a gapful number since it is divisible by the number (14) 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 10301004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15257424).

10301004 is an abundant number, since it is smaller than the sum of its proper divisors (20213844).

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

10301004 is a wasteful number, since it uses less digits than its factorization.

10301004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10301004 is about 3209.5177207799. The cubic root of 10301004 is about 217.5837806448.

Adding to 10301004 its reverse (40010301), we get a palindrome (50311305).

The spelling of 10301004 in words is "ten million, three hundred one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 997 1148 1476 1722 1994 2583 2991 3444 3988 5166 5982 6979 8973 10332 11964 13958 17946 20937 27916 35892 40877 41874 62811 81754 83748 122631 125622 163508 245262 251244 286139 367893 490524 572278 735786 858417 1144556 1471572 1716834 2575251 3433668 5150502 10301004