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274099540 = 2251113239401
BaseRepresentation
bin10000010101100…
…110110101010100
3201002202200212211
4100111212311110
51030132141130
643110523204
76535544011
oct2025466524
9632680784
10274099540
111307a4050
1277966504
1344a2caa0
1428590708
15190e4a2a
hex10566d54

274099540 has 96 divisors (see below), whose sum is σ = 680762880. Its totient is φ = 91392000.

The previous prime is 274099531. The next prime is 274099541. The reversal of 274099540 is 45990472.

It is a junction number, because it is equal to n+sod(n) for n = 274099493 and 274099502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274099541) 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, 683340 + ... + 683740.

It is an arithmetic number, because the mean of its divisors is an integer number (7091280).

Almost surely, 2274099540 is an apocalyptic number.

274099540 is a gapful number since it is divisible by the number (20) 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 274099540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340381440).

274099540 is an abundant number, since it is smaller than the sum of its proper divisors (406663340).

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

274099540 is a wasteful number, since it uses less digits than its factorization.

274099540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 274099540 is about 16555.9517998815. The cubic root of 274099540 is about 649.5851712108.

The spelling of 274099540 in words is "two hundred seventy-four million, ninety-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 239 260 286 401 478 572 715 802 956 1195 1430 1604 2005 2390 2629 2860 3107 4010 4411 4780 5213 5258 6214 8020 8822 10426 10516 12428 13145 15535 17644 20852 22055 26065 26290 31070 34177 44110 52130 52580 57343 62140 68354 88220 95839 104260 114686 136708 170885 191678 229372 286715 341770 383356 479195 573430 683540 958390 1054229 1146860 1245907 1916780 2108458 2491814 4216916 4983628 5271145 6229535 10542290 12459070 13704977 21084580 24918140 27409954 54819908 68524885 137049770 274099540