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1010400544 = 25196132711
BaseRepresentation
bin111100001110010…
…111110100100000
32121102020122222101
4330032113310200
54032130304134
6244132220144
734016156116
oct7416276440
92542218871
101010400544
1147938797a
1224246a654
1313143c15a
1498297ab6
155da87e14
hex3c397d20

1010400544 has 48 divisors (see below), whose sum is σ = 2098111680. Its totient is φ = 477653760.

The previous prime is 1010400529. The next prime is 1010400569. The reversal of 1010400544 is 4450040101.

1010400544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371349 + ... + 374059.

It is an arithmetic number, because the mean of its divisors is an integer number (43710660).

Almost surely, 21010400544 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 1010400544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049055840).

1010400544 is an abundant number, since it is smaller than the sum of its proper divisors (1087711136).

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

1010400544 is a wasteful number, since it uses less digits than its factorization.

1010400544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1010400544 is about 31786.7982659468. The cubic root of 1010400544 is about 1003.4548979340.

Adding to 1010400544 its reverse (4450040101), we get a palindrome (5460440645).

The spelling of 1010400544 in words is "one billion, ten million, four hundred thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 613 1226 2452 2711 4904 5422 9808 10844 11647 19616 21688 23294 43376 46588 51509 86752 93176 103018 186352 206036 372704 412072 824144 1648288 1661843 3323686 6647372 13294744 26589488 31575017 53178976 63150034 126300068 252600136 505200272 1010400544