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101473240 = 235112337271
BaseRepresentation
bin1100000110001…
…01101111011000
321001221101010011
412003011233120
5201434120430
614022531304
72341336231
oct603055730
9231841104
10101473240
1152308390
1229b96b34
131803b24b
14d696088
158d9622a
hex60c5bd8

101473240 has 128 divisors (see below), whose sum is σ = 267909120. Its totient is φ = 34214400.

The previous prime is 101473213. The next prime is 101473241. The reversal of 101473240 is 42374101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101473241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 374305 + ... + 374575.

It is an arithmetic number, because the mean of its divisors is an integer number (2093040).

Almost surely, 2101473240 is an apocalyptic number.

101473240 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 101473240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133954560).

101473240 is an abundant number, since it is smaller than the sum of its proper divisors (166435880).

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

101473240 is a wasteful number, since it uses less digits than its factorization.

101473240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 101473240 is about 10073.3926757573. The cubic root of 101473240 is about 466.4271718962.

The spelling of 101473240 in words is "one hundred one million, four hundred seventy-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 37 40 44 46 55 74 88 92 110 115 148 184 185 220 230 253 271 296 370 407 440 460 506 542 740 814 851 920 1012 1084 1265 1355 1480 1628 1702 2024 2035 2168 2530 2710 2981 3256 3404 4070 4255 5060 5420 5962 6233 6808 8140 8510 9361 10027 10120 10840 11924 12466 14905 16280 17020 18722 20054 23848 24932 29810 31165 34040 37444 40108 46805 49864 50135 59620 62330 68563 74888 80216 93610 100270 110297 119240 124660 137126 187220 200540 220594 230621 249320 274252 342815 374440 401080 441188 461242 548504 551485 685630 882376 922484 1102970 1153105 1371260 1844968 2205940 2306210 2536831 2742520 4411880 4612420 5073662 9224840 10147324 12684155 20294648 25368310 50736620 101473240