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326139000 = 23353119883
BaseRepresentation
bin10011011100000…
…111110001111000
3211201200120121020
4103130013301320
51131442422000
652210142440
711040064365
oct2334076170
9751616536
10326139000
11158108070
1291281a20
1352750575
143145946c
151d973ba0
hex13707c78

326139000 has 128 divisors (see below), whose sum is σ = 1110170880. Its totient is φ = 79056000.

The previous prime is 326138977. The next prime is 326139007. The reversal of 326139000 is 931623.

326139000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326139007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28059 + ... + 37941.

It is an arithmetic number, because the mean of its divisors is an integer number (8673210).

Almost surely, 2326139000 is an apocalyptic number.

326139000 is a gapful number since it is divisible by the number (30) 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 326139000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555085440).

326139000 is an abundant number, since it is smaller than the sum of its proper divisors (784031880).

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

326139000 is a wasteful number, since it uses less digits than its factorization.

326139000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9918 (or 9904 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 326139000 is about 18059.3189240348. The cubic root of 326139000 is about 688.3366783303.

The spelling of 326139000 in words is "three hundred twenty-six million, one hundred thirty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 9883 11000 16500 19766 29649 33000 39532 49415 59298 79064 98830 108713 118596 148245 197660 217426 237192 247075 296490 326139 395320 434852 494150 543565 592980 652278 741225 869704 988300 1087130 1185960 1235375 1304556 1482450 1630695 1976600 2174260 2470750 2609112 2717825 2964900 3261390 3706125 4348520 4941500 5435650 5929800 6522780 7412250 8153475 9883000 10871300 13045560 13589125 14824500 16306950 21742600 27178250 29649000 32613900 40767375 54356500 65227800 81534750 108713000 163069500 326139000