Search a number
-
+
103869840 = 24352331607
BaseRepresentation
bin1100011000011…
…10110110010000
321020110010122010
412030032312100
5203042313330
614150142520
72400610344
oct614166620
9236403563
10103869840
11536a4a48
122a951a40
131869a059
14db1b624
1591bb3b0
hex630ed90

103869840 has 160 divisors (see below), whose sum is σ = 347406336. Its totient is φ = 25597440.

The previous prime is 103869839. The next prime is 103869893. The reversal of 103869840 is 48968301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170817 + ... + 171423.

Almost surely, 2103869840 is an apocalyptic number.

103869840 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 103869840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173703168).

103869840 is an abundant number, since it is smaller than the sum of its proper divisors (243536496).

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

103869840 is a wasteful number, since it uses less digits than its factorization.

103869840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 103869840 is about 10191.6554101873. The cubic root of 103869840 is about 470.0706699227.

The spelling of 103869840 in words is "one hundred three million, eight hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 31 40 46 48 60 62 69 80 92 93 115 120 124 138 155 184 186 230 240 248 276 310 345 368 372 460 465 496 552 607 620 690 713 744 920 930 1104 1214 1240 1380 1426 1488 1821 1840 1860 2139 2428 2480 2760 2852 3035 3565 3642 3720 4278 4856 5520 5704 6070 7130 7284 7440 8556 9105 9712 10695 11408 12140 13961 14260 14568 17112 18210 18817 21390 24280 27922 28520 29136 34224 36420 37634 41883 42780 48560 55844 56451 57040 69805 72840 75268 83766 85560 94085 111688 112902 139610 145680 150536 167532 171120 188170 209415 223376 225804 279220 282255 301072 335064 376340 418830 432791 451608 558440 564510 670128 752680 837660 865582 903216 1116880 1129020 1298373 1505360 1675320 1731164 2163955 2258040 2596746 3350640 3462328 4327910 4516080 5193492 6491865 6924656 8655820 10386984 12983730 17311640 20773968 25967460 34623280 51934920 103869840