Search a number
-
+
3695090040 = 2332553193663
BaseRepresentation
bin1101110000111110…
…1001100101111000
3100112111222000121200
43130033221211320
530031420340130
61410354334200
7160365514155
oct33417514570
910474860550
103695090040
111626866924
1287158a360
1346b6c4b15
14270a6322c
151695e6760
hexdc3e9978

3695090040 has 96 divisors (see below), whose sum is σ = 12235691520. Its totient is φ = 966760704.

The previous prime is 3695089969. The next prime is 3695090053. The reversal of 3695090040 is 400905963.

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 = 3695089977 and 3695090004.

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, 77752 + ... + 115911.

It is an arithmetic number, because the mean of its divisors is an integer number (127455120).

Almost surely, 23695090040 is an apocalyptic number.

3695090040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3695090040 is an abundant number, since it is smaller than the sum of its proper divisors (8540601480).

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

3695090040 is a wasteful number, since it uses less digits than its factorization.

3695090040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193733 (or 193726 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3695090040 is about 60787.2522820369. The cubic root of 3695090040 is about 1545.9959142740.

The spelling of 3695090040 in words is "three billion, six hundred ninety-five million, ninety thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 19080 193663 387326 580989 774652 968315 1161978 1549304 1742967 1936630 2323956 2904945 3485934 3873260 4647912 5809890 6971868 7746520 8714835 10264139 11619780 13943736 17429670 20528278 23239560 30792417 34859340 41056556 51320695 61584834 69718680 82113112 92377251 102641390 123169668 153962085 184754502 205282780 246339336 307924170 369509004 410565560 461886255 615848340 739018008 923772510 1231696680 1847545020 3695090040