Search a number
-
+
140737800 = 23352724787
BaseRepresentation
bin10000110001101…
…11110100001000
3100210211012222010
420120313310020
5242012102200
621544255520
73326152200
oct1030676410
9323735863
10140737800
1172496435
123b1715a0
1323208108
1414997400
15c550150
hex8637d08

140737800 has 144 divisors (see below), whose sum is σ = 507623760. Its totient is φ = 32161920.

The previous prime is 140737757. The next prime is 140737811. The reversal of 140737800 is 8737041.

It is a happy number.

140737800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27007 + ... + 31793.

It is an arithmetic number, because the mean of its divisors is an integer number (3525165).

Almost surely, 2140737800 is an apocalyptic number.

140737800 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 140737800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253811880).

140737800 is an abundant number, since it is smaller than the sum of its proper divisors (366885960).

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

140737800 is a wasteful number, since it uses less digits than its factorization.

140737800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 140737800 is about 11863.2963378650. The cubic root of 140737800 is about 520.1599606503.

The spelling of 140737800 in words is "one hundred forty million, seven hundred thirty-seven thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2100 2450 2940 3675 4200 4787 4900 5880 7350 9574 9800 14361 14700 19148 23935 28722 29400 33509 38296 47870 57444 67018 71805 95740 100527 114888 119675 134036 143610 167545 191480 201054 234563 239350 268072 287220 335090 359025 402108 469126 478700 502635 574440 670180 703689 718050 804216 837725 938252 957400 1005270 1172815 1340360 1407378 1436100 1675450 1876504 2010540 2345630 2513175 2814756 2872200 3350900 3518445 4021080 4691260 5026350 5629512 5864075 6701800 7036890 9382520 10052700 11728150 14073780 17592225 20105400 23456300 28147560 35184450 46912600 70368900 140737800