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1397151616 = 2778318787
BaseRepresentation
bin101001101000110…
…1101011110000000
310121100222122201011
41103101231132000
510330132322431
6350345450304
746423410220
oct12321553600
93540878634
101397151616
11657723763
1232baa0994
131935c2143
14d37b0080
15829d0cb1
hex5346d780

1397151616 has 64 divisors (see below), whose sum is σ = 3219511680. Its totient is φ = 591533568.

The previous prime is 1397151607. The next prime is 1397151641. The reversal of 1397151616 is 6161517931.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×13971516162 = 3904065276182822912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64975 + ... + 83761.

It is an arithmetic number, because the mean of its divisors is an integer number (50304870).

Almost surely, 21397151616 is an apocalyptic number.

1397151616 is a gapful number since it is divisible by the number (16) 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 1397151616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609755840).

1397151616 is an abundant number, since it is smaller than the sum of its proper divisors (1822360064).

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

1397151616 is an equidigital number, since it uses as much as digits as its factorization.

1397151616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18891 (or 18879 counting only the distinct ones).

The product of its digits is 34020, while the sum is 40.

The square root of 1397151616 is about 37378.4913553236. The cubic root of 1397151616 is about 1117.9297470478.

The spelling of 1397151616 in words is "one billion, three hundred ninety-seven million, one hundred fifty-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 128 166 224 332 448 581 664 896 1162 1328 2324 2656 4648 5312 9296 10624 18592 18787 37184 37574 74368 75148 131509 150296 263018 300592 526036 601184 1052072 1202368 1559321 2104144 2404736 3118642 4208288 6237284 8416576 10915247 12474568 16833152 21830494 24949136 43660988 49898272 87321976 99796544 174643952 199593088 349287904 698575808 1397151616