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1376604216 = 2332137320147
BaseRepresentation
bin101001000001101…
…0101000000111000
310112221022201222100
41102003111000320
510304402313331
6344333223400
746053641241
oct12203250070
93487281870
101376604216
1164706a139
12325031b60
1318c279810
14d0b81cc8
1580cc2ae6
hex520d5038

1376604216 has 96 divisors (see below), whose sum is σ = 4070298960. Its totient is φ = 417747456.

The previous prime is 1376604209. The next prime is 1376604217. The reversal of 1376604216 is 6124066731.

It is a happy number.

1376604216 is a `hidden beast` number, since 1 + 37 + 6 + 604 + 2 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1376604217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58255 + ... + 78401.

Almost surely, 21376604216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1376604216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035149480).

1376604216 is an abundant number, since it is smaller than the sum of its proper divisors (2693694744).

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

1376604216 is a wasteful number, since it uses less digits than its factorization.

1376604216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20245 (or 20238 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1376604216 is about 37102.6173739805. The cubic root of 1376604216 is about 1112.4223310840.

The spelling of 1376604216 in words is "one billion, three hundred seventy-six million, six hundred four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 73 78 104 117 146 156 219 234 292 312 438 468 584 657 876 936 949 1314 1752 1898 2628 2847 3796 5256 5694 7592 8541 11388 17082 20147 22776 34164 40294 60441 68328 80588 120882 161176 181323 241764 261911 362646 483528 523822 725292 785733 1047644 1450584 1470731 1571466 2095288 2357199 2941462 3142932 4412193 4714398 5882924 6285864 8824386 9428796 11765848 13236579 17648772 18857592 19119503 26473158 35297544 38239006 52946316 57358509 76478012 105892632 114717018 152956024 172075527 229434036 344151054 458868072 688302108 1376604216