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74053000 = 2353771149
BaseRepresentation
bin1000110100111…
…11010110001000
312011100021121201
410122133112020
5122424144000
611203113544
71556303650
oct432372610
9164307551
1074053000
113888a12a
12209728b4
131245a558
149b99360
15677b96a
hex469f588

74053000 has 128 divisors (see below), whose sum is σ = 202176000. Its totient is φ = 24864000.

The previous prime is 74052997. The next prime is 74053033. The reversal of 74053000 is 35047.

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 31 ways as a sum of consecutive naturals, for example, 496926 + ... + 497074.

It is an arithmetic number, because the mean of its divisors is an integer number (1579500).

Almost surely, 274053000 is an apocalyptic number.

74053000 is a gapful number since it is divisible by the number (70) 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 74053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101088000).

74053000 is an abundant number, since it is smaller than the sum of its proper divisors (128123000).

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

74053000 is a wasteful number, since it uses less digits than its factorization.

74053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 74053000 is about 8605.4052780796. The cubic root of 74053000 is about 419.9338520164.

Adding to 74053000 its reverse (35047), we get a palindrome (74088047).

The spelling of 74053000 in words is "seventy-four million, fifty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 71 100 125 140 142 149 175 200 250 280 284 298 350 355 497 500 568 596 700 710 745 875 994 1000 1043 1192 1400 1420 1490 1750 1775 1988 2086 2485 2840 2980 3500 3550 3725 3976 4172 4970 5215 5960 7000 7100 7450 8344 8875 9940 10430 10579 12425 14200 14900 17750 18625 19880 20860 21158 24850 26075 29800 35500 37250 41720 42316 49700 52150 52895 62125 71000 74053 74500 84632 99400 104300 105790 124250 130375 148106 149000 208600 211580 248500 260750 264475 296212 370265 423160 497000 521500 528950 592424 740530 1043000 1057900 1322375 1481060 1851325 2115800 2644750 2962120 3702650 5289500 7405300 9256625 10579000 14810600 18513250 37026500 74053000