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196467700 = 2252112131249
BaseRepresentation
bin10111011010111…
…01101111110100
3111200200121000111
423231131233310
5400243431300
631254552404
74603643062
oct1355355764
9450617014
10196467700
11a09a0100
1255968704
133191b5a0
141c143032
15123ac9ba
hexbb5dbf4

196467700 has 108 divisors (see below), whose sum is σ = 505067500. Its totient is φ = 65894400.

The previous prime is 196467671. The next prime is 196467701. The reversal of 196467700 is 7764691.

It can be written as a sum of positive squares in 6 ways, for example, as 27415696 + 169052004 = 5236^2 + 13002^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196467701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156676 + ... + 157924.

Almost surely, 2196467700 is an apocalyptic number.

196467700 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 196467700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252533750).

196467700 is an abundant number, since it is smaller than the sum of its proper divisors (308599800).

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

196467700 is a wasteful number, since it uses less digits than its factorization.

196467700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 196467700 is about 14016.6936186820. The cubic root of 196467700 is about 581.3402418951.

The spelling of 196467700 in words is "one hundred ninety-six million, four hundred sixty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 121 130 143 220 242 260 275 286 325 484 550 572 605 650 715 1100 1210 1249 1300 1430 1573 2420 2498 2860 3025 3146 3575 4996 6050 6245 6292 7150 7865 12100 12490 13739 14300 15730 16237 24980 27478 31225 31460 32474 39325 54956 62450 64948 68695 78650 81185 124900 137390 151129 157300 162370 178607 274780 302258 324740 343475 357214 405925 604516 686950 714428 755645 811850 893035 1373900 1511290 1623700 1786070 1964677 3022580 3572140 3778225 3929354 4465175 7556450 7858708 8930350 9823385 15112900 17860700 19646770 39293540 49116925 98233850 196467700