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73400130 = 23252359601
BaseRepresentation
bin1000101111111…
…11111101000010
312010010010001100
410113333331002
5122242301010
611141115230
71550614356
oct427777502
9163103040
1073400130
1138483671
12206b8b16
131228c33b
149a69466
15669d2c0
hex45fff42

73400130 has 96 divisors (see below), whose sum is σ = 202849920. Its totient is φ = 18374400.

The previous prime is 73400123. The next prime is 73400161. The reversal of 73400130 is 3100437.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121830 + ... + 122430.

It is an arithmetic number, because the mean of its divisors is an integer number (2113020).

Almost surely, 273400130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73400130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101424960).

73400130 is an abundant number, since it is smaller than the sum of its proper divisors (129449790).

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

73400130 is a wasteful number, since it uses less digits than its factorization.

73400130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 73400130 is about 8567.3875831551. The cubic root of 73400130 is about 418.6961264323.

Adding to 73400130 its reverse (3100437), we get a palindrome (76500567).

The spelling of 73400130 in words is "seventy-three million, four hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 59 69 90 115 118 138 177 207 230 295 345 354 414 531 590 601 690 885 1035 1062 1202 1357 1770 1803 2070 2655 2714 3005 3606 4071 5310 5409 6010 6785 8142 9015 10818 12213 13570 13823 18030 20355 24426 27045 27646 35459 40710 41469 54090 61065 69115 70918 82938 106377 122130 124407 138230 177295 207345 212754 248814 319131 354590 414690 531885 622035 638262 815557 1063770 1244070 1595655 1631114 2446671 3191310 4077785 4893342 7340013 8155570 12233355 14680026 24466710 36700065 73400130