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147330000 = 2432541637
BaseRepresentation
bin10001100100000…
…01001111010000
3101021020010202200
420302001033100
5300204030000
622341443200
73436166346
oct1062011720
9337203680
10147330000
1176189234
1241410500
13246a581c
14157d1996
15ce03500
hex8c813d0

147330000 has 150 divisors (see below), whose sum is σ = 515549034. Its totient is φ = 39264000.

The previous prime is 147329999. The next prime is 147330017. The reversal of 147330000 is 33741.

It can be written as a sum of positive squares in 5 ways, for example, as 101848464 + 45481536 = 10092^2 + 6744^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×1473300002 = 43412257800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89182 + ... + 90818.

Almost surely, 2147330000 is an apocalyptic number.

147330000 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 147330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257774517).

147330000 is an abundant number, since it is smaller than the sum of its proper divisors (368219034).

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

147330000 is a wasteful number, since it uses less digits than its factorization.

147330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 147330000 is about 12137.9569944863. The cubic root of 147330000 is about 528.1578384865.

Adding to 147330000 its reverse (33741), we get a palindrome (147363741).

The spelling of 147330000 in words is "one hundred forty-seven million, three hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1637 1800 1875 2000 2250 2500 3000 3274 3600 3750 4500 4911 5000 5625 6000 6548 7500 8185 9000 9822 10000 11250 13096 14733 15000 16370 18000 19644 22500 24555 26192 29466 30000 32740 39288 40925 45000 49110 58932 65480 73665 78576 81850 90000 98220 117864 122775 130960 147330 163700 196440 204625 235728 245550 294660 327400 368325 392880 409250 491100 589320 613875 654800 736650 818500 982200 1023125 1178640 1227750 1473300 1637000 1841625 1964400 2046250 2455500 2946600 3069375 3274000 3683250 4092500 4911000 5893200 6138750 7366500 8185000 9208125 9822000 12277500 14733000 16370000 18416250 24555000 29466000 36832500 49110000 73665000 147330000