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1407008106 = 232711166731
BaseRepresentation
bin101001111011101…
…0011110101101010
310122001112102021100
41103313103311222
510340143224411
6351341022230
746603241310
oct12367236552
93561472240
101407008106
11662246019
12333254976
1319566359a
14d4c180b0
15837cb456
hex53dd3d6a

1407008106 has 24 divisors (see below), whose sum is σ = 3484020384. Its totient is φ = 402002280.

The previous prime is 1407008101. The next prime is 1407008131. The reversal of 1407008106 is 6018007041.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1407008106.

It is not an unprimeable number, because it can be changed into a prime (1407008101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5583240 + ... + 5583491.

It is an arithmetic number, because the mean of its divisors is an integer number (145167516).

Almost surely, 21407008106 is an apocalyptic number.

1407008106 is an abundant number, since it is smaller than the sum of its proper divisors (2077012278).

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

1407008106 is a wasteful number, since it uses less digits than its factorization.

1407008106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11166746 (or 11166743 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1407008106 is about 37510.1067180567. The cubic root of 1407008106 is about 1120.5524766839.

The spelling of 1407008106 in words is "one billion, four hundred seven million, eight thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 11166731 22333462 33500193 67000386 78167117 100500579 156334234 201001158 234501351 469002702 703504053 1407008106