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40097694 = 237132331103
BaseRepresentation
bin1001100011110…
…1011110011110
32210110011200210
42120331132132
540231111234
63551233250
7664552620
oct230753636
983404623
1040097694
11206a7a9a
1211518826
1383cc160
14547ac10
1537c0be9
hex263d79e

40097694 has 128 divisors (see below), whose sum is σ = 107347968. Its totient is φ = 9694080.

The previous prime is 40097693. The next prime is 40097719. The reversal of 40097694 is 49679004.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40097693) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 389247 + ... + 389349.

It is an arithmetic number, because the mean of its divisors is an integer number (838656).

Almost surely, 240097694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40097694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53673984).

40097694 is an abundant number, since it is smaller than the sum of its proper divisors (67250274).

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

40097694 is a wasteful number, since it uses less digits than its factorization.

40097694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 40097694 is about 6332.2739991254. The cubic root of 40097694 is about 342.2733869564.

The spelling of 40097694 in words is "forty million, ninety-seven thousand, six hundred ninety-four".

Divisors: 1 2 3 6 7 13 14 21 23 26 31 39 42 46 62 69 78 91 93 103 138 161 182 186 206 217 273 299 309 322 403 434 483 546 598 618 651 713 721 806 897 966 1209 1302 1339 1426 1442 1794 2093 2139 2163 2369 2418 2678 2821 3193 4017 4186 4278 4326 4738 4991 5642 6279 6386 7107 8034 8463 9269 9373 9579 9982 12558 14214 14973 16583 16926 18538 18746 19158 22351 27807 28119 29946 30797 33166 41509 44702 49749 55614 56238 61594 64883 67053 73439 83018 92391 99498 124527 129766 134106 146878 184782 194649 215579 220317 249054 290563 389298 431158 440634 514073 581126 646737 871689 954707 1028146 1293474 1542219 1743378 1909414 2864121 3084438 5728242 6682949 13365898 20048847 40097694