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196516440 = 233253117609
BaseRepresentation
bin10111011011010…
…01101001011000
3111200210001212200
423231221221120
5400302011230
631300010200
74604235141
oct1355515130
9450701780
10196516440
11a0a2378a
1255990960
1331937823
141c156ac8
15123bc160
hexbb69a58

196516440 has 96 divisors (see below), whose sum is σ = 659318400. Its totient is φ = 50711040.

The previous prime is 196516399. The next prime is 196516457. The reversal of 196516440 is 44615691.

196516440 is a `hidden beast` number, since 1 + 9 + 6 + 5 + 1 + 644 + 0 = 666.

It is a super-2 number, since 2×1965164402 = 77237422380547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 196516395 and 196516404.

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, 2356 + ... + 19964.

It is an arithmetic number, because the mean of its divisors is an integer number (6867900).

Almost surely, 2196516440 is an apocalyptic number.

196516440 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 196516440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329659200).

196516440 is an abundant number, since it is smaller than the sum of its proper divisors (462801960).

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

196516440 is a wasteful number, since it uses less digits than its factorization.

196516440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17657 (or 17650 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 196516440 is about 14018.4321519919. The cubic root of 196516440 is about 581.3883111716.

It can be divided in two parts, 196 and 516440, that added together give a triangular number (516636 = T1016).

The spelling of 196516440 in words is "one hundred ninety-six million, five hundred sixteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 17609 35218 52827 70436 88045 105654 140872 158481 176090 211308 264135 316962 352180 422616 528270 545879 633924 704360 792405 1056540 1091758 1267848 1584810 1637637 2113080 2183516 2729395 3169620 3275274 4367032 4912911 5458790 6339240 6550548 8188185 9825822 10917580 13101096 16376370 19651644 21835160 24564555 32752740 39303288 49129110 65505480 98258220 196516440