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78140190 = 23559131337
BaseRepresentation
bin1001010100001…
…01001100011110
312110000221012010
410222011030132
5130000441230
611430452050
71636115652
oct452051436
9173027163
1078140190
1140120977
1222204026
131325b9cb
14a540a62
156cd79b0
hex4a8531e

78140190 has 64 divisors (see below), whose sum is σ = 192741120. Its totient is φ = 20267520.

The previous prime is 78140147. The next prime is 78140197. The reversal of 78140190 is 9104187.

It is a super-2 number, since 2×781401902 = 12211778586472200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78140197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231702 + ... + 232038.

It is an arithmetic number, because the mean of its divisors is an integer number (3011580).

Almost surely, 278140190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78140190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96370560).

78140190 is an abundant number, since it is smaller than the sum of its proper divisors (114600930).

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

78140190 is a wasteful number, since it uses less digits than its factorization.

78140190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537.

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 78140190 is about 8839.6939992287. The cubic root of 78140190 is about 427.5216910440.

The spelling of 78140190 in words is "seventy-eight million, one hundred forty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 59 118 131 177 262 295 337 354 393 590 655 674 786 885 1011 1310 1685 1770 1965 2022 3370 3930 5055 7729 10110 15458 19883 23187 38645 39766 44147 46374 59649 77290 88294 99415 115935 119298 132441 198830 220735 231870 264882 298245 441470 596490 662205 1324410 2604673 5209346 7814019 13023365 15628038 26046730 39070095 78140190