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146159964 = 2234676733
BaseRepresentation
bin10001011011000…
…11100101011100
3101012000200210000
420231203211130
5244404104324
622300414300
73423224226
oct1055434534
9335020700
10146159964
117555a165
1240b47390
13243860b2
14155a9416
15cc719c9
hex8b6395c

146159964 has 60 divisors (see below), whose sum is σ = 387851464. Its totient is φ = 47985696.

The previous prime is 146159941. The next prime is 146160011. The reversal of 146159964 is 469951641.

It is a happy number.

146159964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18342 + ... + 25074.

Almost surely, 2146159964 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 146159964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193925732).

146159964 is an abundant number, since it is smaller than the sum of its proper divisors (241691500).

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

146159964 is a wasteful number, since it uses less digits than its factorization.

146159964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6816 (or 6805 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 146159964 is about 12089.6635188908. The cubic root of 146159964 is about 526.7559813988.

It can be divided in two parts, 1461 and 59964, that added together give a triangular number (61425 = T350).

The spelling of 146159964 in words is "one hundred forty-six million, one hundred fifty-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 268 324 402 603 804 1206 1809 2412 3618 5427 6733 7236 10854 13466 20199 21708 26932 40398 60597 80796 121194 181791 242388 363582 451111 545373 727164 902222 1090746 1353333 1804444 2181492 2706666 4059999 5413332 8119998 12179997 16239996 24359994 36539991 48719988 73079982 146159964