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1107347472 = 2432721121297
BaseRepresentation
bin100001000000000…
…1100100000010000
32212011200002011100
41002000030200100
54231440104342
6301514144400
736304204200
oct10200144020
92764602140
101107347472
11519083600
1226aa22100
131485540ba
14a70d2400
1567337e4c
hex4200c810

1107347472 has 270 divisors, whose sum is σ = 3965575614. Its totient is φ = 287400960.

The previous prime is 1107347447. The next prime is 1107347491. The reversal of 1107347472 is 2747437011.

1107347472 is a `hidden beast` number, since 110 + 7 + 3 + 474 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1106493696 + 853776 = 33264^2 + 924^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 853128 + ... + 854424.

Almost surely, 21107347472 is an apocalyptic number.

1107347472 is a gapful number since it is divisible by the number (12) 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 1107347472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982787807).

1107347472 is an abundant number, since it is smaller than the sum of its proper divisors (2858228142).

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

1107347472 is a wasteful number, since it uses less digits than its factorization.

1107347472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 1107347472 is about 33276.8308587221. The cubic root of 1107347472 is about 1034.5733955657.

The spelling of 1107347472 in words is "one billion, one hundred seven million, three hundred forty-seven thousand, four hundred seventy-two".