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102720480 = 25351731237
BaseRepresentation
bin1100001111101…
…10001111100000
321011021202000020
412013312033200
5202244023410
614105353440
72355052422
oct607661740
9234252006
10102720480
1152a8a465
122a498880
1318386b65
14d8dc812
159040a70
hex61f63e0

102720480 has 96 divisors (see below), whose sum is σ = 325702944. Its totient is φ = 27211776.

The previous prime is 102720467. The next prime is 102720491. The reversal of 102720480 is 84027201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1027204802 = 21102994022860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102720480.

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, 82422 + ... + 83658.

It is an arithmetic number, because the mean of its divisors is an integer number (3392739).

Almost surely, 2102720480 is an apocalyptic number.

102720480 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 102720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162851472).

102720480 is an abundant number, since it is smaller than the sum of its proper divisors (222982464).

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

102720480 is a wasteful number, since it uses less digits than its factorization.

102720480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 102720480 is about 10135.1112475394. Note that the first 3 decimals coincide. The cubic root of 102720480 is about 468.3303971256.

Adding to 102720480 its reverse (84027201), we get a palindrome (186747681).

The spelling of 102720480 in words is "one hundred two million, seven hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 173 240 346 480 519 692 865 1038 1237 1384 1730 2076 2474 2595 2768 3460 3711 4152 4948 5190 5536 6185 6920 7422 8304 9896 10380 12370 13840 14844 16608 18555 19792 20760 24740 27680 29688 37110 39584 41520 49480 59376 74220 83040 98960 118752 148440 197920 214001 296880 428002 593760 642003 856004 1070005 1284006 1712008 2140010 2568012 3210015 3424016 4280020 5136024 6420030 6848032 8560040 10272048 12840060 17120080 20544096 25680120 34240160 51360240 102720480