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201002796 = 223102337
BaseRepresentation
bin10111111101100…
…00111100101100
3112000020000000000
423332300330230
5402424042141
631540104300
74660331661
oct1376607454
9460200000
10201002796
11a3508415
1257395090
1332848887
141c9a3a68
15129a65b6
hexbfb0f2c

201002796 has 132 divisors (see below), whose sum is σ = 565450032. Its totient is φ = 62355744.

The previous prime is 201002783. The next prime is 201002797. The reversal of 201002796 is 697200102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (201002797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 5432490 + ... + 5432526.

Almost surely, 2201002796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201002796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282725016).

201002796 is an abundant number, since it is smaller than the sum of its proper divisors (364447236).

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

201002796 is an equidigital number, since it uses as much as digits as its factorization.

201002796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 201002796 is about 14177.5454857320. The cubic root of 201002796 is about 585.7793163907.

Adding to 201002796 its reverse (697200102), we get a palindrome (898202898).

The spelling of 201002796 in words is "two hundred one million, two thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 37 46 54 69 74 81 92 108 111 138 148 162 207 222 243 276 324 333 414 444 486 621 666 729 828 851 972 999 1242 1332 1458 1702 1863 1998 2187 2484 2553 2916 2997 3404 3726 3996 4374 5106 5589 5994 6561 7452 7659 8748 8991 10212 11178 11988 13122 15318 16767 17982 19683 22356 22977 26244 26973 30636 33534 35964 39366 45954 50301 53946 59049 67068 68931 78732 80919 91908 100602 107892 118098 137862 150903 161838 201204 206793 236196 242757 275724 301806 323676 413586 452709 485514 603612 620379 728271 827172 905418 971028 1240758 1358127 1456542 1810836 1861137 2184813 2481516 2716254 2913084 3722274 4369626 5432508 5583411 7444548 8739252 11166822 16750233 22333644 33500466 50250699 67000932 100501398 201002796