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190320400 = 245223137151
BaseRepresentation
bin10110101100000…
…00111100010000
3111021010021111201
423112000330100
5342210223100
630515120544
74500460654
oct1326007420
9437107451
10190320400
1198481596
12538a3154
133057852a
141b3c2a64
1511a9636a
hexb580f10

190320400 has 120 divisors (see below), whose sum is σ = 483790464. Its totient is φ = 71808000.

The previous prime is 190320391. The next prime is 190320443. The reversal of 190320400 is 4023091.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1260325 + ... + 1260475.

Almost surely, 2190320400 is an apocalyptic number.

190320400 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 190320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241895232).

190320400 is an abundant number, since it is smaller than the sum of its proper divisors (293470064).

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

190320400 is a wasteful number, since it uses less digits than its factorization.

190320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 190320400 is about 13795.6659860987. The cubic root of 190320400 is about 575.2126749515.

Adding to 190320400 its reverse (4023091), we get a palindrome (194343491).

The spelling of 190320400 in words is "one hundred ninety million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 137 151 184 200 230 274 302 368 400 460 548 575 604 685 755 920 1096 1150 1208 1370 1510 1840 2192 2300 2416 2740 3020 3151 3425 3473 3775 4600 5480 6040 6302 6850 6946 7550 9200 10960 12080 12604 13700 13892 15100 15755 17365 20687 25208 27400 27784 30200 31510 34730 41374 50416 54800 55568 60400 63020 69460 78775 82748 86825 103435 126040 138920 157550 165496 173650 206870 252080 277840 315100 330992 347300 413740 475801 517175 630200 694600 827480 951602 1034350 1260400 1389200 1654960 1903204 2068700 2379005 3806408 4137400 4758010 7612816 8274800 9516020 11895025 19032040 23790050 38064080 47580100 95160200 190320400