Search a number
-
+
115780350 = 23527313557
BaseRepresentation
bin1101110011010…
…10101011111110
322001212020210010
412321222223332
5214114432400
615253324050
72604055020
oct671525376
9261766703
10115780350
115a39a544
1232936626
131acaa3aa
141153c010
15a270450
hex6e6aafe

115780350 has 96 divisors (see below), whose sum is σ = 338835456. Its totient is φ = 25603200.

The previous prime is 115780337. The next prime is 115780373. The reversal of 115780350 is 53087511.

It is a super-2 number, since 2×1157803502 = 26810178892245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30772 + ... + 34328.

It is an arithmetic number, because the mean of its divisors is an integer number (3529536).

Almost surely, 2115780350 is an apocalyptic number.

115780350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115780350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169417728).

115780350 is an abundant number, since it is smaller than the sum of its proper divisors (223055106).

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

115780350 is a wasteful number, since it uses less digits than its factorization.

115780350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 115780350 is about 10760.1277873453. The cubic root of 115780350 is about 487.3918760864.

The spelling of 115780350 in words is "one hundred fifteen million, seven hundred eighty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 31 35 42 50 62 70 75 93 105 150 155 175 186 210 217 310 350 434 465 525 651 775 930 1050 1085 1302 1550 2170 2325 3255 3557 4650 5425 6510 7114 10671 10850 16275 17785 21342 24899 32550 35570 49798 53355 74697 88925 106710 110267 124495 149394 177850 220534 248990 266775 330801 373485 533550 551335 622475 661602 746970 771869 1102670 1244950 1543738 1654005 1867425 2315607 2756675 3308010 3734850 3859345 4631214 5513350 7718690 8270025 11578035 16540050 19296725 23156070 38593450 57890175 115780350