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100473480 = 23335313001
BaseRepresentation
bin1011111110100…
…01101010001000
321000001120201000
411333101222020
5201210122410
613545255000
72330003412
oct577215210
9230046630
10100473480
1151795238
1229794460
1317a7b183
14d4b59b2
158c49dc0
hex5fd1a88

100473480 has 128 divisors (see below), whose sum is σ = 345830400. Its totient is φ = 25920000.

The previous prime is 100473479. The next prime is 100473523. The reversal of 100473480 is 84374001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31980 + ... + 34980.

It is an arithmetic number, because the mean of its divisors is an integer number (2701800).

Almost surely, 2100473480 is an apocalyptic number.

100473480 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 100473480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172915200).

100473480 is an abundant number, since it is smaller than the sum of its proper divisors (245356920).

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

100473480 is a wasteful number, since it uses less digits than its factorization.

100473480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 100473480 is about 10023.6460432320. The cubic root of 100473480 is about 464.8902967014.

The spelling of 100473480 in words is "one hundred million, four hundred seventy-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3001 3348 3720 4185 5580 6002 6696 8370 9003 11160 12004 15005 16740 18006 24008 27009 30010 33480 36012 45015 54018 60020 72024 81027 90030 93031 108036 120040 135045 162054 180060 186062 216072 270090 279093 324108 360120 372124 405135 465155 540180 558186 648216 744248 810270 837279 930310 1080360 1116372 1395465 1620540 1674558 1860620 2232744 2511837 2790930 3241080 3349116 3721240 4186395 5023674 5581860 6698232 8372790 10047348 11163720 12559185 16745580 20094696 25118370 33491160 50236740 100473480