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1226379840 = 26357229231
BaseRepresentation
bin100100100011001…
…0001001001000000
310011110122112212120
41021012101021000
510002423123330
6321405324240
742251025300
oct11106211100
93143575776
101226379840
1157a294364
122a2866680
131670cc75a
14b8c39600
15729ebc10
hex49191240

1226379840 has 504 divisors, whose sum is σ = 4842369792. Its totient is φ = 261918720.

The previous prime is 1226379829. The next prime is 1226379851. The reversal of 1226379840 is 489736221.

It is an interprime number because it is at equal distance from previous prime (1226379829) and next prime (1226379851).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1226379792 and 1226379801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39560625 + ... + 39560655.

Almost surely, 21226379840 is an apocalyptic number.

1226379840 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 1226379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421184896).

1226379840 is an abundant number, since it is smaller than the sum of its proper divisors (3615989952).

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

1226379840 is a wasteful number, since it uses less digits than its factorization.

1226379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1226379840 is about 35019.7064522249. The cubic root of 1226379840 is about 1070.3890744504.

The spelling of 1226379840 in words is "one billion, two hundred twenty-six million, three hundred seventy-nine thousand, eight hundred forty".