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146802740 = 225719229241
BaseRepresentation
bin10001100000000…
…00100000110100
3101020020100111112
420300000200310
5300040141430
622322254152
73431542220
oct1060004064
9336210445
10146802740
1175959087
12411b7358
132454c836
14156d5780
15cd4c195
hex8c00834

146802740 has 96 divisors (see below), whose sum is σ = 374035200. Its totient is φ = 47278080.

The previous prime is 146802737. The next prime is 146802787. The reversal of 146802740 is 47208641.

It is a junction number, because it is equal to n+sod(n) for n = 146802697 and 146802706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609020 + ... + 609260.

It is an arithmetic number, because the mean of its divisors is an integer number (3896200).

Almost surely, 2146802740 is an apocalyptic number.

146802740 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 146802740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187017600).

146802740 is an abundant number, since it is smaller than the sum of its proper divisors (227232460).

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

146802740 is a wasteful number, since it uses less digits than its factorization.

146802740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 146802740 is about 12116.2180568030. The cubic root of 146802740 is about 527.5270337964.

The spelling of 146802740 in words is "one hundred forty-six million, eight hundred two thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 229 241 266 380 458 482 532 665 916 964 1145 1205 1330 1603 1687 2290 2410 2660 3206 3374 4351 4579 4580 4820 6412 6748 8015 8435 8702 9158 16030 16870 17404 18316 21755 22895 30457 32053 32060 33740 43510 45790 55189 60914 64106 87020 91580 110378 121828 128212 152285 160265 220756 275945 304570 320530 386323 551890 609140 641060 772646 1048591 1103780 1545292 1931615 2097182 3863230 4194364 5242955 7340137 7726460 10485910 14680274 20971820 29360548 36700685 73401370 146802740