Search a number
-
+
61023040 = 2651314669
BaseRepresentation
bin1110100011001…
…0001101000000
311020211021212121
43220302031000
5111110214130
610015534024
71340454511
oct350621500
9136737777
1061023040
113149a571
121852a314
13c847810
148166a08
155555d7a
hex3a32340

61023040 has 56 divisors (see below), whose sum is σ = 156499560. Its totient is φ = 22530048.

The previous prime is 61023037. The next prime is 61023043. The reversal of 61023040 is 4032016.

It is an interprime number because it is at equal distance from previous prime (61023037) and next prime (61023043).

It can be written as a sum of positive squares in 4 ways, for example, as 2408704 + 58614336 = 1552^2 + 7656^2 .

It is a super-2 number, since 2×610230402 = 7447622821683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61023043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3175 + ... + 11494.

It is an arithmetic number, because the mean of its divisors is an integer number (2794635).

Almost surely, 261023040 is an apocalyptic number.

It is an amenable number.

61023040 is an abundant number, since it is smaller than the sum of its proper divisors (95476520).

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

61023040 is a wasteful number, since it uses less digits than its factorization.

61023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14699 (or 14689 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 61023040 is about 7811.7245215125. The cubic root of 61023040 is about 393.6992732166.

Adding to 61023040 its reverse (4032016), we get a palindrome (65055056).

The spelling of 61023040 in words is "sixty-one million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 14669 29338 58676 73345 117352 146690 190697 234704 293380 381394 469408 586760 762788 938816 953485 1173520 1525576 1906970 2347040 3051152 3813940 4694080 6102304 7627880 12204608 15255760 30511520 61023040