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140254200 = 233352191367
BaseRepresentation
bin10000101110000…
…01101111111000
3100202220122121000
420113001233320
5241401113300
621530045000
73322066242
oct1027015770
9322818530
10140254200
1172196069
123ab79760
1323098c68
14148ad092
15c4a6c00
hex85c1bf8

140254200 has 192 divisors, whose sum is σ = 508896000. Its totient is φ = 35406720.

The previous prime is 140254193. The next prime is 140254201. The reversal of 140254200 is 2452041.

140254200 is digitally balanced in base 2, 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140254201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101917 + ... + 103283.

It is an arithmetic number, because the mean of its divisors is an integer number (2650500).

Almost surely, 2140254200 is an apocalyptic number.

140254200 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 140254200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254448000).

140254200 is an abundant number, since it is smaller than the sum of its proper divisors (368641800).

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

140254200 is a wasteful number, since it uses less digits than its factorization.

140254200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 140254200 is about 11842.8966051385. The cubic root of 140254200 is about 519.5634896928.

It can be divided in two parts, 14025 and 4200, that added together give a square (18225 = 1352).

The spelling of 140254200 in words is "one hundred forty million, two hundred fifty-four thousand, two hundred".