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132550000 = 245511241
BaseRepresentation
bin1111110011010…
…00110101110000
3100020102020102021
413321220311300
5232413100000
621053001224
73166441102
oct771506560
9306366367
10132550000
1168903860
1238483214
13215cc36b
1413865572
15b98411a
hex7e68d70

132550000 has 120 divisors (see below), whose sum is σ = 351633744. Its totient is φ = 48000000.

The previous prime is 132549997. The next prime is 132550001. The reversal of 132550000 is 55231.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132550001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549880 + ... + 550120.

Almost surely, 2132550000 is an apocalyptic number.

132550000 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 132550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175816872).

132550000 is an abundant number, since it is smaller than the sum of its proper divisors (219083744).

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

132550000 is an equidigital number, since it uses as much as digits as its factorization.

132550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 132550000 is about 11513.0360895812. The cubic root of 132550000 is about 509.8705297392.

The spelling of 132550000 in words is "one hundred thirty-two million, five hundred fifty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 241 250 275 400 440 482 500 550 625 880 964 1000 1100 1205 1250 1375 1928 2000 2200 2410 2500 2651 2750 3125 3856 4400 4820 5000 5302 5500 6025 6250 6875 9640 10000 10604 11000 12050 12500 13255 13750 19280 21208 22000 24100 25000 26510 27500 30125 34375 42416 48200 50000 53020 55000 60250 66275 68750 96400 106040 110000 120500 132550 137500 150625 212080 241000 265100 275000 301250 331375 482000 530200 550000 602500 662750 753125 1060400 1205000 1325500 1506250 1656875 2410000 2651000 3012500 3313750 5302000 6025000 6627500 8284375 12050000 13255000 16568750 26510000 33137500 66275000 132550000