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997474140 = 22325132914699
BaseRepresentation
bin111011011101000…
…011111101011100
32120111220221021200
4323131003331130
54020323133030
6242551155500
733501250605
oct7335037534
92514827250
10997474140
114720590a3
1223a075b90
1312b8645b0
1496690dac
155c882d60
hex3b743f5c

997474140 has 144 divisors (see below), whose sum is σ = 3371004000. Its totient is φ = 237049344.

The previous prime is 997474123. The next prime is 997474171. The reversal of 997474140 is 41474799.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60511 + ... + 75209.

It is an arithmetic number, because the mean of its divisors is an integer number (23409750).

Almost surely, 2997474140 is an apocalyptic number.

997474140 is a gapful number since it is divisible by the number (90) 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 997474140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685502000).

997474140 is an abundant number, since it is smaller than the sum of its proper divisors (2373529860).

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

997474140 is a wasteful number, since it uses less digits than its factorization.

997474140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14756 (or 14751 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 997474140 is about 31582.8139974892. The cubic root of 997474140 is about 999.1573367848.

The spelling of 997474140 in words is "nine hundred ninety-seven million, four hundred seventy-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 290 348 377 390 435 468 522 580 585 754 780 870 1044 1131 1170 1305 1508 1740 1885 2262 2340 2610 3393 3770 4524 5220 5655 6786 7540 11310 13572 14699 16965 22620 29398 33930 44097 58796 67860 73495 88194 132291 146990 176388 191087 220485 264582 293980 382174 426271 440970 529164 573261 661455 764348 852542 881940 955435 1146522 1278813 1322910 1705084 1719783 1910870 2131355 2293044 2557626 2645820 2866305 3439566 3821740 3836439 4262710 5115252 5541523 5732610 6394065 6879132 7672878 8525420 8598915 11083046 11465220 12788130 15345756 16624569 17197830 19182195 22166092 25576260 27707615 33249138 34395660 38364390 49873707 55415230 66498276 76728780 83122845 99747414 110830460 166245690 199494828 249368535 332491380 498737070 997474140