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146663640 = 233252317713
BaseRepresentation
bin10001011110111…
…10100011011000
3101012222021200200
420233132203120
5300021214030
622315302200
73430422534
oct1057364330
9335867620
10146663640
1175873622
124114a960
1324501426
141569abc4
15cd20d60
hex8bde8d8

146663640 has 96 divisors (see below), whose sum is σ = 497409120. Its totient is φ = 37407744.

The previous prime is 146663633. The next prime is 146663653. The reversal of 146663640 is 46366641.

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

It is a junction number, because it is equal to n+sod(n) for n = 146663595 and 146663604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 577 + ... + 17136.

It is an arithmetic number, because the mean of its divisors is an integer number (5181345).

Almost surely, 2146663640 is an apocalyptic number.

146663640 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 146663640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248704560).

146663640 is an abundant number, since it is smaller than the sum of its proper divisors (350745480).

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

146663640 is a wasteful number, since it uses less digits than its factorization.

146663640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17753 (or 17746 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 146663640 is about 12110.4764563579. The cubic root of 146663640 is about 527.3603652477.

The spelling of 146663640 in words is "one hundred forty-six million, six hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 17713 35426 53139 70852 88565 106278 141704 159417 177130 212556 265695 318834 354260 407399 425112 531390 637668 708520 797085 814798 1062780 1222197 1275336 1594170 1629596 2036995 2125560 2444394 3188340 3259192 3666591 4073990 4888788 6110985 6376680 7333182 8147980 9777576 12221970 14666364 16295960 18332955 24443940 29332728 36665910 48887880 73331820 146663640