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102474480 = 2435735849
BaseRepresentation
bin1100001101110…
…10001011110000
321010211020120010
412012322023300
5202213140410
614100214520
72353006263
oct606721360
9233736503
10102474480
1152931659
122a39a440
13182cbbb4
14d876cda
158ee2c20
hex61ba2f0

102474480 has 80 divisors (see below), whose sum is σ = 322077600. Its totient is φ = 26947584.

The previous prime is 102474479. The next prime is 102474503. The reversal of 102474480 is 84474201.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14596 + ... + 20444.

It is an arithmetic number, because the mean of its divisors is an integer number (4025970).

Almost surely, 2102474480 is an apocalyptic number.

102474480 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 102474480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161038800).

102474480 is an abundant number, since it is smaller than the sum of its proper divisors (219603120).

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

102474480 is a wasteful number, since it uses less digits than its factorization.

102474480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5938 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 102474480 is about 10122.9679442345. The cubic root of 102474480 is about 467.9562381463.

The spelling of 102474480 in words is "one hundred two million, four hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5840 5849 8760 11698 17520 17547 23396 29245 35094 46792 58490 70188 87735 93584 116980 140376 175470 233960 280752 350940 426977 467920 701880 853954 1280931 1403760 1707908 2134885 2561862 3415816 4269770 5123724 6404655 6831632 8539540 10247448 12809310 17079080 20494896 25618620 34158160 51237240 102474480