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1055074240 = 26511378101
BaseRepresentation
bin111110111000110…
…010011111000000
32201112022022202201
4332320302133000
54130044333430
6252405522544
735100661123
oct7670623700
92645268681
101055074240
114a161a990
12255413454
1313a7810ac
14a01a63ba
156295e8ca
hex3ee327c0

1055074240 has 112 divisors (see below), whose sum is σ = 2815218144. Its totient is φ = 373248000.

The previous prime is 1055074231. The next prime is 1055074289. The reversal of 1055074240 is 424705501.

It is a super-2 number, since 2×10550742402 = 2226363303823155200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055074199 and 1055074208.

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, 126190 + ... + 134290.

Almost surely, 21055074240 is an apocalyptic number.

1055074240 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 1055074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407609072).

1055074240 is an abundant number, since it is smaller than the sum of its proper divisors (1760143904).

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

1055074240 is a wasteful number, since it uses less digits than its factorization.

1055074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8166 (or 8156 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 1055074240 is about 32481.9063479963. The cubic root of 1055074240 is about 1018.0310086625.

Adding to 1055074240 its reverse (424705501), we get a palindrome (1479779741).

The spelling of 1055074240 in words is "one billion, fifty-five million, seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 64 74 80 88 110 148 160 176 185 220 296 320 352 370 407 440 592 704 740 814 880 1184 1480 1628 1760 2035 2368 2960 3256 3520 4070 5920 6512 8101 8140 11840 13024 16202 16280 26048 32404 32560 40505 64808 65120 81010 89111 129616 130240 162020 178222 259232 299737 324040 356444 445555 518464 599474 648080 712888 891110 1198948 1296160 1425776 1498685 1782220 2397896 2592320 2851552 2997370 3297107 3564440 4795792 5703104 5994740 6594214 7128880 9591584 11989480 13188428 14257760 16485535 19183168 23978960 26376856 28515520 32971070 47957920 52753712 65942140 95915840 105507424 131884280 211014848 263768560 527537120 1055074240