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5307417540 = 2233513970709
BaseRepresentation
bin1001111000101100…
…01100001111000100
3111200212211202011000
410330112030033010
541332144330130
62234352213300
7245344206345
oct47426141704
914625752130
105307417540
112283998397
12104153a230
13667755969
14384c460cc
15210e2d260
hex13c58c3c4

5307417540 has 96 divisors (see below), whose sum is σ = 16630992000. Its totient is φ = 1405109376.

The previous prime is 5307417517. The next prime is 5307417547. The reversal of 5307417540 is 457147035.

It is a happy number.

5307417540 is a `hidden beast` number, since 5 + 30 + 74 + 17 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5307417495 and 5307417504.

It is not an unprimeable number, because it can be changed into a prime (5307417547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39706 + ... + 110414.

It is an arithmetic number, because the mean of its divisors is an integer number (173239500).

Almost surely, 25307417540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5307417540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8315496000).

5307417540 is an abundant number, since it is smaller than the sum of its proper divisors (11323574460).

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

5307417540 is a wasteful number, since it uses less digits than its factorization.

5307417540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70866 (or 70858 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 5307417540 is about 72852.0249546984. The cubic root of 5307417540 is about 1744.3263919493.

The spelling of 5307417540 in words is "five billion, three hundred seven million, four hundred seventeen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 139 180 270 278 417 540 556 695 834 1251 1390 1668 2085 2502 2780 3753 4170 5004 6255 7506 8340 12510 15012 18765 25020 37530 70709 75060 141418 212127 282836 353545 424254 636381 707090 848508 1060635 1272762 1414180 1909143 2121270 2545524 3181905 3818286 4242540 6363810 7636572 9545715 9828551 12727620 19091430 19657102 29485653 38182860 39314204 49142755 58971306 88456959 98285510 117942612 147428265 176913918 196571020 265370877 294856530 353827836 442284795 530741754 589713060 884569590 1061483508 1326854385 1769139180 2653708770 5307417540