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146430492 = 2231319127389
BaseRepresentation
bin10001011101001…
…01101000011100
3101012112102212120
420232211220130
5244441233432
622310302540
73425432025
oct1056455034
9335472776
10146430492
117572443a
1241057a50
132444c280
1415639c4c
15ccc6c2c
hex8ba5a1c

146430492 has 96 divisors (see below), whose sum is σ = 391372800. Its totient is φ = 42239232.

The previous prime is 146430461. The next prime is 146430499. The reversal of 146430492 is 294034641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146430499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376234 + ... + 376622.

It is an arithmetic number, because the mean of its divisors is an integer number (4076800).

Almost surely, 2146430492 is an apocalyptic number.

146430492 is a gapful number since it is divisible by the number (12) 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 146430492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195686400).

146430492 is an abundant number, since it is smaller than the sum of its proper divisors (244942308).

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

146430492 is a wasteful number, since it uses less digits than its factorization.

146430492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 146430492 is about 12100.8467472322. The cubic root of 146430492 is about 527.0807726053.

The spelling of 146430492 in words is "one hundred forty-six million, four hundred thirty thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 127 156 228 247 254 381 389 494 508 741 762 778 988 1167 1482 1524 1556 1651 2334 2413 2964 3302 4668 4826 4953 5057 6604 7239 7391 9652 9906 10114 14478 14782 15171 19812 20228 22173 28956 29564 30342 31369 44346 49403 60684 62738 88692 94107 96083 98806 125476 148209 188214 192166 197612 288249 296418 376428 384332 576498 592836 642239 938657 1152996 1284478 1877314 1926717 2568956 2815971 3754628 3853434 5631942 7706868 11263884 12202541 24405082 36607623 48810164 73215246 146430492