Search a number
-
+
146421704 = 231113149859
BaseRepresentation
bin10001011101000…
…11011111001000
3101012111222211002
420232203133020
5244440443304
622310154132
73425364302
oct1056433710
9335458732
10146421704
1175718880
1241052948
1324448280
1415636972
15ccc431e
hex8ba37c8

146421704 has 64 divisors (see below), whose sum is σ = 325080000. Its totient is φ = 60952320.

The previous prime is 146421683. The next prime is 146421757. The reversal of 146421704 is 407124641.

It is a happy number.

146421704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 170027 + ... + 170885.

It is an arithmetic number, because the mean of its divisors is an integer number (5079375).

Almost surely, 2146421704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146421704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162540000).

146421704 is an abundant number, since it is smaller than the sum of its proper divisors (178658296).

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

146421704 is a wasteful number, since it uses less digits than its factorization.

146421704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 146421704 is about 12100.4836266986. The cubic root of 146421704 is about 527.0702281747.

The spelling of 146421704 in words is "one hundred forty-six million, four hundred twenty-one thousand, seven hundred four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 149 286 298 572 596 859 1144 1192 1639 1718 1937 3278 3436 3874 6556 6872 7748 9449 11167 13112 15496 18898 21307 22334 37796 42614 44668 75592 85228 89336 122837 127991 170456 245674 255982 491348 511964 982696 1023928 1407901 1663883 2815802 3327766 5631604 6655532 11263208 13311064 18302713 36605426 73210852 146421704