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1977903340 = 225731345137
BaseRepresentation
bin111010111100100…
…0110100011101100
312002211202220022021
41311321012203230
513022320401330
6524133155524
7100004621020
oct16571064354
95084686267
101977903340
11925525066
1247248bba4
13256a0b80a
1414a986380
15b899a67a
hex75e468ec

1977903340 has 48 divisors (see below), whose sum is σ = 4762239552. Its totient is φ = 675956736.

The previous prime is 1977903311. The next prime is 1977903341. The reversal of 1977903340 is 433097791.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1977903341) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21252 + ... + 66388.

It is an arithmetic number, because the mean of its divisors is an integer number (99213324).

Almost surely, 21977903340 is an apocalyptic number.

1977903340 is a gapful number since it is divisible by the number (10) 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 1977903340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381119776).

1977903340 is an abundant number, since it is smaller than the sum of its proper divisors (2784336212).

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

1977903340 is a wasteful number, since it uses less digits than its factorization.

1977903340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45466 (or 45464 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 43.

The square root of 1977903340 is about 44473.6252176501. The cubic root of 1977903340 is about 1255.2638482728.

The spelling of 1977903340 in words is "one billion, nine hundred seventy-seven million, nine hundred three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 313 626 1252 1565 2191 3130 4382 6260 8764 10955 21910 43820 45137 90274 180548 225685 315959 451370 631918 902740 1263836 1579795 3159590 6319180 14127881 28255762 56511524 70639405 98895167 141278810 197790334 282557620 395580668 494475835 988951670 1977903340