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45670240 = 2557112337
BaseRepresentation
bin1010111000110…
…1111101100000
310011221021210101
42232031331200
543142421430
64310512144
71063122250
oct256157540
9104837711
1045670240
1123863800
1213365654
139600715
1460cb960
154021dca
hex2b8df60

45670240 has 144 divisors (see below), whose sum is σ = 135940896. Its totient is φ = 14192640.

The previous prime is 45670217. The next prime is 45670267. The reversal of 45670240 is 4207654.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 45670199 and 45670208.

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, 135352 + ... + 135688.

It is an arithmetic number, because the mean of its divisors is an integer number (944034).

Almost surely, 245670240 is an apocalyptic number.

45670240 is a gapful number since it is divisible by the number (40) 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 45670240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67970448).

45670240 is an abundant number, since it is smaller than the sum of its proper divisors (90270656).

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

45670240 is a wasteful number, since it uses less digits than its factorization.

45670240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 45670240 is about 6757.9760283683. The cubic root of 45670240 is about 357.4465403296.

Adding to 45670240 its reverse (4207654), we get a palindrome (49877894).

The spelling of 45670240 in words is "forty-five million, six hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 121 140 154 160 176 220 224 242 280 308 337 352 385 440 484 560 605 616 674 770 847 880 968 1120 1210 1232 1348 1540 1685 1694 1760 1936 2359 2420 2464 2696 3080 3370 3388 3707 3872 4235 4718 4840 5392 6160 6740 6776 7414 8470 9436 9680 10784 11795 12320 13480 13552 14828 16940 18535 18872 19360 23590 25949 26960 27104 29656 33880 37070 37744 40777 47180 51898 53920 59312 67760 74140 75488 81554 94360 103796 118624 129745 135520 148280 163108 188720 203885 207592 259490 285439 296560 326216 377440 407770 415184 518980 570878 593120 652432 815540 830368 1037960 1141756 1304864 1427195 1631080 2075920 2283512 2854390 3262160 4151840 4567024 5708780 6524320 9134048 11417560 22835120 45670240