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196902144 = 283361467
BaseRepresentation
bin10111011110001…
…11110100000000
3111201111122222000
423233013310000
5400401332034
631312144000
74610432505
oct1357076400
9451448860
10196902144
11a116754a
1255b38000
1331a4125a
141c2174ac
1512446599
hexbbc7d00

196902144 has 144 divisors (see below), whose sum is σ = 593087040. Its totient is φ = 64419840.

The previous prime is 196902137. The next prime is 196902163. The reversal of 196902144 is 441209691.

It is a happy number.

196902144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 196902099 and 196902108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421399 + ... + 421865.

It is an arithmetic number, because the mean of its divisors is an integer number (4118660).

Almost surely, 2196902144 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 196902144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296543520).

196902144 is an abundant number, since it is smaller than the sum of its proper divisors (396184896).

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

196902144 is an equidigital number, since it uses as much as digits as its factorization.

196902144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 196902144 is about 14032.1824389508. The cubic root of 196902144 is about 581.7684273741.

The spelling of 196902144 in words is "one hundred ninety-six million, nine hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 256 288 366 384 432 467 488 549 576 732 768 864 934 976 1098 1152 1401 1464 1647 1728 1868 1952 2196 2304 2802 2928 3294 3456 3736 3904 4203 4392 5604 5856 6588 6912 7472 7808 8406 8784 11208 11712 12609 13176 14944 15616 16812 17568 22416 23424 25218 26352 28487 29888 33624 35136 44832 46848 50436 52704 56974 59776 67248 70272 85461 89664 100872 105408 113948 119552 134496 140544 170922 179328 201744 210816 227896 256383 268992 341844 358656 403488 421632 455792 512766 537984 683688 769149 806976 911584 1025532 1075968 1367376 1538298 1613952 1823168 2051064 2734752 3076596 3227904 3646336 4102128 5469504 6153192 7292672 8204256 10939008 12306384 16408512 21878016 24612768 32817024 49225536 65634048 98451072 196902144