Search a number
-
+
140033200 = 24522331491
BaseRepresentation
bin10000101100010…
…11110010110000
3100202111102102211
420112023302300
5241322030300
621521221504
73320156026
oct1026136260
9322442384
10140033200
117205501a
123aa91894
132301c4a8
1414852716
15c4614ba
hex858bcb0

140033200 has 120 divisors (see below), whose sum is σ = 363119616. Its totient is φ = 51744000.

The previous prime is 140033189. The next prime is 140033203. The reversal of 140033200 is 2330041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140033203) 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, 284955 + ... + 285445.

Almost surely, 2140033200 is an apocalyptic number.

140033200 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 140033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181559808).

140033200 is an abundant number, since it is smaller than the sum of its proper divisors (223086416).

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

140033200 is a wasteful number, since it uses less digits than its factorization.

140033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 140033200 is about 11833.5624390967. The cubic root of 140033200 is about 519.2904523706.

Adding to 140033200 its reverse (2330041), we get a palindrome (142363241).

The spelling of 140033200 in words is "one hundred forty million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 31 40 46 50 62 80 92 100 115 124 155 184 200 230 248 310 368 400 460 491 496 575 620 713 775 920 982 1150 1240 1426 1550 1840 1964 2300 2455 2480 2852 3100 3565 3928 4600 4910 5704 6200 7130 7856 9200 9820 11293 11408 12275 12400 14260 15221 17825 19640 22586 24550 28520 30442 35650 39280 45172 49100 56465 57040 60884 71300 76105 90344 98200 112930 121768 142600 152210 180688 196400 225860 243536 282325 285200 304420 350083 380525 451720 564650 608840 700166 761050 903440 1129300 1217680 1400332 1522100 1750415 2258600 2800664 3044200 3500830 4517200 5601328 6088400 7001660 8752075 14003320 17504150 28006640 35008300 70016600 140033200