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1370049120 = 253351122621
BaseRepresentation
bin101000110101001…
…0100101001100000
310112110222201002000
41101222110221200
510301213032440
6343540524000
745644140206
oct12152245140
93473881060
101370049120
116433a2200
123229b0600
1318aac2c6b
14cdd57076
158042a730
hex51a94a60

1370049120 has 288 divisors, whose sum is σ = 5272737120. Its totient is φ = 332006400.

The previous prime is 1370049103. The next prime is 1370049139. The reversal of 1370049120 is 219400731.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521410 + ... + 524030.

It is an arithmetic number, because the mean of its divisors is an integer number (18308115).

Almost surely, 21370049120 is an apocalyptic number.

1370049120 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 1370049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636368560).

1370049120 is an abundant number, since it is smaller than the sum of its proper divisors (3902688000).

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

1370049120 is a wasteful number, since it uses less digits than its factorization.

1370049120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1370049120 is about 37014.1745821786. The cubic root of 1370049120 is about 1110.6538149588.

Adding to 1370049120 its reverse (219400731), we get a palindrome (1589449851).

The spelling of 1370049120 in words is "one billion, three hundred seventy million, forty-nine thousand, one hundred twenty".