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146396404 = 227114111593
BaseRepresentation
bin10001011100111…
…01010011110100
3101012110201010001
420232131103310
5244434141104
622305441044
73425230450
oct1056352364
9335421101
10146396404
1175700870
1241040184
13244398bb
141562b660
15ccbbaa4
hex8b9d4f4

146396404 has 48 divisors (see below), whose sum is σ = 327229056. Its totient is φ = 55641600.

The previous prime is 146396389. The next prime is 146396429. The reversal of 146396404 is 404693641.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 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, 6832 + ... + 18424.

It is an arithmetic number, because the mean of its divisors is an integer number (6817272).

Almost surely, 2146396404 is an apocalyptic number.

146396404 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 146396404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163614528).

146396404 is an abundant number, since it is smaller than the sum of its proper divisors (180832652).

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

146396404 is a wasteful number, since it uses less digits than its factorization.

146396404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11656 (or 11654 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 146396404 is about 12099.4381687746. The cubic root of 146396404 is about 527.0398691853.

The spelling of 146396404 in words is "one hundred forty-six million, three hundred ninety-six thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 41 44 77 82 154 164 287 308 451 574 902 1148 1804 3157 6314 11593 12628 23186 46372 81151 127523 162302 255046 324604 475313 510092 892661 950626 1785322 1901252 3327191 3570644 5228443 6654382 10456886 13308764 20913772 36599101 73198202 146396404