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84472320 = 293517647
BaseRepresentation
bin1010000100011…
…11001000000000
312212221122020110
411002033020000
5133111103240
612214311320
72044000662
oct502171000
9185848213
1084472320
1143756339
1224358540
1314667c2a
14b30c532
157638c80
hex508f200

84472320 has 160 divisors (see below), whose sum is σ = 286374528. Its totient is φ = 21168128.

The previous prime is 84472277. The next prime is 84472357. The reversal of 84472320 is 2327448.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130237 + ... + 130883.

Almost surely, 284472320 is an apocalyptic number.

84472320 is a gapful number since it is divisible by the number (80) 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 84472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143187264).

84472320 is an abundant number, since it is smaller than the sum of its proper divisors (201902208).

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

84472320 is a wasteful number, since it uses less digits than its factorization.

84472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 84472320 is about 9190.8824385910. The cubic root of 84472320 is about 438.7712272909.

Adding to 84472320 its reverse (2327448), we get a palindrome (86799768).

The spelling of 84472320 in words is "eighty-four million, four hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 512 544 640 647 680 768 816 960 1020 1088 1280 1294 1360 1536 1632 1920 1941 2040 2176 2560 2588 2720 3235 3264 3840 3882 4080 4352 5176 5440 6470 6528 7680 7764 8160 8704 9705 10352 10880 10999 12940 13056 15528 16320 19410 20704 21760 21998 25880 26112 31056 32640 32997 38820 41408 43520 43996 51760 54995 62112 65280 65994 77640 82816 87992 103520 109990 124224 130560 131988 155280 164985 165632 175984 207040 219980 248448 263976 310560 329970 331264 351968 414080 439960 496896 527952 621120 659940 703936 828160 879920 993792 1055904 1242240 1319880 1407872 1656320 1759840 2111808 2484480 2639760 2815744 3519680 4223616 4968960 5279520 5631488 7039360 8447232 10559040 14078720 16894464 21118080 28157440 42236160 84472320