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97421184 = 273374027
BaseRepresentation
bin1011100111010…
…00011110000000
320210022111202000
411303220132000
5144414434214
613400024000
72262031530
oct563503600
9223274660
1097421184
114aa9aa83
1228762000
131724ca93
14cd1d4c0
158845809
hex5ce8780

97421184 has 128 divisors (see below), whose sum is σ = 328684800. Its totient is φ = 27827712.

The previous prime is 97421171. The next prime is 97421239. The reversal of 97421184 is 48112479.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 22179 + ... + 26205.

It is an arithmetic number, because the mean of its divisors is an integer number (2567850).

Almost surely, 297421184 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 97421184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164342400).

97421184 is an abundant number, since it is smaller than the sum of its proper divisors (231263616).

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

97421184 is a wasteful number, since it uses less digits than its factorization.

97421184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4039 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 97421184 is about 9870.2170188907. The cubic root of 97421184 is about 460.1341511694.

The spelling of 97421184 in words is "ninety-seven million, four hundred twenty-one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4027 4032 6048 8054 8064 12081 12096 16108 24162 24192 28189 32216 36243 48324 56378 64432 72486 84567 96648 108729 112756 128864 144972 169134 193296 217458 225512 253701 257728 289944 338268 386592 434916 451024 507402 515456 579888 676536 761103 773184 869832 902048 1014804 1159776 1353072 1522206 1546368 1739664 1804096 2029608 2319552 2706144 3044412 3479328 3608192 4059216 4639104 5412288 6088824 6958656 8118432 10824576 12177648 13917312 16236864 24355296 32473728 48710592 97421184