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196912240 = 2457794451
BaseRepresentation
bin10111011110010…
…10010001110000
3111201112011210221
423233022101300
5400402142430
631312302424
74610504110
oct1357122160
9451464727
10196912240
11a1174098
1255b41a14
1331a45a25
141c21b040
151244957a
hexbbca470

196912240 has 80 divisors (see below), whose sum is σ = 529966080. Its totient is φ = 66643200.

The previous prime is 196912237. The next prime is 196912259. The reversal of 196912240 is 42219691.

196912240 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 (80).

It is a junction number, because it is equal to n+sod(n) for n = 196912196 and 196912205.

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, 42015 + ... + 46465.

It is an arithmetic number, because the mean of its divisors is an integer number (6624576).

Almost surely, 2196912240 is an apocalyptic number.

196912240 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 196912240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264983040).

196912240 is an abundant number, since it is smaller than the sum of its proper divisors (333053840).

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

196912240 is a wasteful number, since it uses less digits than its factorization.

196912240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4550 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 196912240 is about 14032.5421788071. The cubic root of 196912240 is about 581.7783704412.

The spelling of 196912240 in words is "one hundred ninety-six million, nine hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 79 80 112 140 158 280 316 395 553 560 632 790 1106 1264 1580 2212 2765 3160 4424 4451 5530 6320 8848 8902 11060 17804 22120 22255 31157 35608 44240 44510 62314 71216 89020 124628 155785 178040 249256 311570 351629 356080 498512 623140 703258 1246280 1406516 1758145 2461403 2492560 2813032 3516290 4922806 5626064 7032580 9845612 12307015 14065160 19691224 24614030 28130320 39382448 49228060 98456120 196912240