[go: up one dir, main page]

Search a number
-
+
381875040 = 2533588397
BaseRepresentation
bin10110110000101…
…111001101100000
3222121120021002000
4112300233031200
51240230000130
6101520524000
712314612211
oct2660571540
9877507060
10381875040
11186616408
12a7a80600
1361166781
1438a07408
15237d3260
hex16c2f360

381875040 has 96 divisors (see below), whose sum is σ = 1336577760. Its totient is φ = 101832192.

The previous prime is 381875023. The next prime is 381875071. The reversal of 381875040 is 40578183.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 381874986 and 381875004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39879 + ... + 48518.

It is an arithmetic number, because the mean of its divisors is an integer number (13922685).

Almost surely, 2381875040 is an apocalyptic number.

381875040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381875040 is an abundant number, since it is smaller than the sum of its proper divisors (954702720).

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

381875040 is a wasteful number, since it uses less digits than its factorization.

381875040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88421 (or 88407 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 381875040 is about 19541.6232693193. The cubic root of 381875040 is about 725.5050242654.

The spelling of 381875040 in words is "three hundred eighty-one million, eight hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 88397 176794 265191 353588 441985 530382 707176 795573 883970 1060764 1325955 1414352 1591146 1767940 2121528 2386719 2651910 2828704 3182292 3535880 3977865 4243056 4773438 5303820 6364584 7071760 7955730 8486112 9546876 10607640 11933595 12729168 14143520 15911460 19093752 21215280 23867190 25458336 31822920 38187504 42430560 47734380 63645840 76375008 95468760 127291680 190937520 381875040