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103214080 = 2105191061
BaseRepresentation
bin1100010011011…
…10110000000000
321012012211002201
412021232300000
5202410322310
614124122544
72362206454
oct611566000
9235184081
10103214080
11532972a2
122a696454
13184ca728
14d9ca664
1590dbe3a
hex626ec00

103214080 has 88 divisors (see below), whose sum is σ = 260869680. Its totient is φ = 39075840.

The previous prime is 103214077. The next prime is 103214081. The reversal of 103214080 is 80412301.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (103214081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96750 + ... + 97810.

Almost surely, 2103214080 is an apocalyptic number.

103214080 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 103214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130434840).

103214080 is an abundant number, since it is smaller than the sum of its proper divisors (157655600).

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

103214080 is a wasteful number, since it uses less digits than its factorization.

103214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 103214080 is about 10159.4330550479. The cubic root of 103214080 is about 469.0793506429.

Adding to 103214080 its reverse (80412301), we get a palindrome (183626381).

The spelling of 103214080 in words is "one hundred three million, two hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 512 608 640 760 1024 1061 1216 1280 1520 2122 2432 2560 3040 4244 4864 5120 5305 6080 8488 9728 10610 12160 16976 19456 20159 21220 24320 33952 40318 42440 48640 67904 80636 84880 97280 100795 135808 161272 169760 201590 271616 322544 339520 403180 543232 645088 679040 806360 1086464 1290176 1358080 1612720 2580352 2716160 3225440 5160704 5432320 6450880 10321408 12901760 20642816 25803520 51607040 103214080