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1040376420 = 223351926623
BaseRepresentation
bin111110000000101…
…110001001100100
32200111122121011000
4332000232021210
54112314021140
6251122513300
734532024256
oct7600561144
92614577130
101040376420
114942a1226
12250505830
13137706165
149c25bcd6
1561509a30
hex3e02e264

1040376420 has 48 divisors (see below), whose sum is σ = 3236728320. Its totient is φ = 277433568.

The previous prime is 1040376413. The next prime is 1040376437. The reversal of 1040376420 is 246730401.

1040376420 is a `hidden beast` number, since 10 + 4 + 0 + 3 + 7 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 962772 + ... + 963851.

It is an arithmetic number, because the mean of its divisors is an integer number (67431840).

Almost surely, 21040376420 is an apocalyptic number.

1040376420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040376420 is an abundant number, since it is smaller than the sum of its proper divisors (2196351900).

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

1040376420 is a wasteful number, since it uses less digits than its factorization.

1040376420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926641 (or 1926633 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1040376420 is about 32254.8666095521. The cubic root of 1040376420 is about 1013.2816241600.

The spelling of 1040376420 in words is "one billion, forty million, three hundred seventy-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1926623 3853246 5779869 7706492 9633115 11559738 17339607 19266230 23119476 28899345 34679214 38532460 52018821 57798690 69358428 86698035 104037642 115597380 173396070 208075284 260094105 346792140 520188210 1040376420