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196002840 = 233511831789
BaseRepresentation
bin10111010111011…
…00010000011000
3111122210222100110
423223230100120
5400134042330
631241004320
74566665565
oct1353542030
9448728313
10196002840
11a0702920
12557836a0
13317b7b17
141c06186c
1512319db0
hexbaec418

196002840 has 128 divisors (see below), whose sum is σ = 649555200. Its totient is φ = 46917120.

The previous prime is 196002811. The next prime is 196002857. The reversal of 196002840 is 48200691.

It is a super-2 number, since 2×1960028402 = 76834226576131200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 196002798 and 196002807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108666 + ... + 110454.

It is an arithmetic number, because the mean of its divisors is an integer number (5074650).

Almost surely, 2196002840 is an apocalyptic number.

196002840 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 196002840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324777600).

196002840 is an abundant number, since it is smaller than the sum of its proper divisors (453552360).

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

196002840 is a wasteful number, since it uses less digits than its factorization.

196002840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 196002840 is about 14000.1014282040. The cubic root of 196002840 is about 580.8813789468.

The spelling of 196002840 in words is "one hundred ninety-six million, two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 83 88 110 120 132 165 166 220 249 264 330 332 415 440 498 660 664 830 913 996 1245 1320 1660 1789 1826 1992 2490 2739 3320 3578 3652 4565 4980 5367 5478 7156 7304 8945 9130 9960 10734 10956 13695 14312 17890 18260 19679 21468 21912 26835 27390 35780 36520 39358 42936 53670 54780 59037 71560 78716 98395 107340 109560 118074 148487 157432 196790 214680 236148 295185 296974 393580 445461 472296 590370 593948 742435 787160 890922 1180740 1187896 1484870 1633357 1781844 2227305 2361480 2969740 3266714 3563688 4454610 4900071 5939480 6533428 8166785 8909220 9800142 13066856 16333570 17818440 19600284 24500355 32667140 39200568 49000710 65334280 98001420 196002840