Search a number
-
+
1977430 = 257134153
BaseRepresentation
bin111100010110001010110
310201110112011
413202301112
51001234210
6110214434
722544050
oct7426126
93643464
101977430
111130744
127b441a
135430a0
143968d0
15290d8a
hex1e2c56

1977430 has 64 divisors (see below), whose sum is σ = 4572288. Its totient is φ = 599040.

The previous prime is 1977427. The next prime is 1977433. The reversal of 1977430 is 347791.

It is an interprime number because it is at equal distance from previous prime (1977427) and next prime (1977433).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 1977392 and 1977401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1977433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37284 + ... + 37336.

It is an arithmetic number, because the mean of its divisors is an integer number (71442).

21977430 is an apocalyptic number.

1977430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1977430 is an abundant number, since it is smaller than the sum of its proper divisors (2594858).

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

1977430 is a wasteful number, since it uses less digits than its factorization.

1977430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121.

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 1977430 is about 1406.2112216876. The cubic root of 1977430 is about 125.5163706205.

The spelling of 1977430 in words is "one million, nine hundred seventy-seven thousand, four hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 41 53 65 70 82 91 106 130 182 205 265 287 371 410 455 530 533 574 689 742 910 1066 1378 1435 1855 2173 2665 2870 3445 3710 3731 4346 4823 5330 6890 7462 9646 10865 15211 18655 21730 24115 28249 30422 37310 48230 56498 76055 141245 152110 197743 282490 395486 988715 1977430