Search a number
-
+
146904720 = 24352921107
BaseRepresentation
bin10001100000110…
…01011010010000
3101020102112101120
420300121122100
5300101422340
622324402240
73432445434
oct1060313220
9336375346
10146904720
1175a18766
1241246380
1324587091
14157209c4
15cd6c4d0
hex8c19690

146904720 has 80 divisors (see below), whose sum is σ = 471130560. Its totient is φ = 37821952.

The previous prime is 146904707. The next prime is 146904721. The reversal of 146904720 is 27409641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (146904721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3594 + ... + 17513.

It is an arithmetic number, because the mean of its divisors is an integer number (5889132).

Almost surely, 2146904720 is an apocalyptic number.

146904720 is a gapful number since it is divisible by the number (10) 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 146904720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235565280).

146904720 is an abundant number, since it is smaller than the sum of its proper divisors (324225840).

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

146904720 is a wasteful number, since it uses less digits than its factorization.

146904720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21152 (or 21146 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 146904720 is about 12120.4257350969. The cubic root of 146904720 is about 527.6491585709.

The spelling of 146904720 in words is "one hundred forty-six million, nine hundred four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 21107 42214 63321 84428 105535 126642 168856 211070 253284 316605 337712 422140 506568 612103 633210 844280 1013136 1224206 1266420 1688560 1836309 2448412 2532840 3060515 3672618 4896824 5065680 6121030 7345236 9181545 9793648 12242060 14690472 18363090 24484120 29380944 36726180 48968240 73452360 146904720