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1921040004 = 2231331339343
BaseRepresentation
bin111001010000000…
…1011111010000100
311221212202221110210
41302200023322010
512413241240004
6514342315420
765414366502
oct16240137204
94855687423
101921040004
118a6416874
12457428b70
13247cbc480
141431c3672
15b39b7089
hex7280be84

1921040004 has 48 divisors (see below), whose sum is σ = 4842774272. Its totient is φ = 589185792.

The previous prime is 1921040003. The next prime is 1921040027. The reversal of 1921040004 is 4000401291.

It is not an unprimeable number, because it can be changed into a prime (1921040003) by changing a digit.

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, 29157 + ... + 68499.

Almost surely, 21921040004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1921040004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421387136).

1921040004 is an abundant number, since it is smaller than the sum of its proper divisors (2921734268).

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

1921040004 is a wasteful number, since it uses less digits than its factorization.

1921040004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39676 (or 39674 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1921040004 is about 43829.6703615256. The cubic root of 1921040004 is about 1243.1173739744.

Adding to 1921040004 its reverse (4000401291), we get a palindrome (5921441295).

The spelling of 1921040004 in words is "one billion, nine hundred twenty-one million, forty thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 313 626 939 1252 1878 3756 4069 8138 12207 16276 24414 39343 48828 78686 118029 157372 236058 472116 511459 1022918 1534377 2045836 3068754 6137508 12314359 24628718 36943077 49257436 73886154 147772308 160086667 320173334 480260001 640346668 960520002 1921040004