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190241400 = 233523131013
BaseRepresentation
bin10110101011011…
…01101001111000
3111020222021010210
423111231221320
5342200211100
630513311120
74500011436
oct1325555170
9436867123
10190241400
11984281a8
12538654a0
133054b59b
141b3a1d56
1511a7cc50
hexb56da78

190241400 has 96 divisors (see below), whose sum is σ = 592216560. Its totient is φ = 50519040.

The previous prime is 190241329. The next prime is 190241411. The reversal of 190241400 is 4142091.

190241400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187294 + ... + 188306.

Almost surely, 2190241400 is an apocalyptic number.

190241400 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 190241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296108280).

190241400 is an abundant number, since it is smaller than the sum of its proper divisors (401975160).

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

190241400 is a wasteful number, since it uses less digits than its factorization.

190241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 190241400 is about 13792.8024708541. The cubic root of 190241400 is about 575.1330756894.

Adding to 190241400 its reverse (4142091), we get a palindrome (194383491).

The spelling of 190241400 in words is "one hundred ninety million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 313 600 626 939 1013 1252 1565 1878 2026 2504 3039 3130 3756 4052 4695 5065 6078 6260 7512 7825 8104 9390 10130 12156 12520 15195 15650 18780 20260 23475 24312 25325 30390 31300 37560 40520 46950 50650 60780 62600 75975 93900 101300 121560 151950 187800 202600 303900 317069 607800 634138 951207 1268276 1585345 1902414 2536552 3170690 3804828 4756035 6341380 7609656 7926725 9512070 12682760 15853450 19024140 23780175 31706900 38048280 47560350 63413800 95120700 190241400