Search a number
-
+
146701692 = 22341014483
BaseRepresentation
bin10001011111001…
…11110101111100
3101020001012220000
420233213311330
5300023423232
622320154300
73430641504
oct1057476574
9336035800
10146701692
117589a175
1241168990
1324515847
14156aaa04
15cd2c27c
hex8be7d7c

146701692 has 60 divisors (see below), whose sum is σ = 387390696. Its totient is φ = 48405600.

The previous prime is 146701631. The next prime is 146701697. The reversal of 146701692 is 296107641.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146701697) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30483 + ... + 34965.

Almost surely, 2146701692 is an apocalyptic number.

146701692 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 146701692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193695348).

146701692 is an abundant number, since it is smaller than the sum of its proper divisors (240689004).

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

146701692 is a wasteful number, since it uses less digits than its factorization.

146701692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4600 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 146701692 is about 12112.0473909245. The cubic root of 146701692 is about 527.4059693283.

The spelling of 146701692 in words is "one hundred forty-six million, seven hundred one thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 606 909 1212 1818 2727 3636 4483 5454 8181 8966 10908 13449 16362 17932 26898 32724 40347 53796 80694 121041 161388 242082 363123 452783 484164 726246 905566 1358349 1452492 1811132 2716698 4075047 5433396 8150094 12225141 16300188 24450282 36675423 48900564 73350846 146701692