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146800640 = 22257
BaseRepresentation
bin10001100000000…
…00000000000000
3101020020020121202
420300000000000
5300040110030
622322240332
73431533130
oct1060000000
9336206552
10146800640
1175957548
12411b60a8
132454b8ac
14156d4ac0
15cd4b745
hex8c00000

146800640 has 92 divisors (see below), whose sum is σ = 402653136. Its totient is φ = 50331648.

The previous prime is 146800637. The next prime is 146800649. The reversal of 146800640 is 46008641.

It is not an unprimeable number, because it can be changed into a prime (146800649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20971517 + ... + 20971523.

Almost surely, 2146800640 is an apocalyptic number.

146800640 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 146800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201326568).

146800640 is an abundant number, since it is smaller than the sum of its proper divisors (255852496).

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

146800640 is an frugal number, since it uses more digits than its factorization.

146800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 146800640 is about 12116.1313957880. The cubic root of 146800640 is about 527.5245183755.

The spelling of 146800640 in words is "one hundred forty-six million, eight hundred thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4096 4480 5120 7168 8192 8960 10240 14336 16384 17920 20480 28672 32768 35840 40960 57344 65536 71680 81920 114688 131072 143360 163840 229376 262144 286720 327680 458752 524288 573440 655360 917504 1048576 1146880 1310720 1835008 2097152 2293760 2621440 3670016 4194304 4587520 5242880 7340032 9175040 10485760 14680064 18350080 20971520 29360128 36700160 73400320 146800640