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1402440564 = 22373714799
BaseRepresentation
bin101001110010111…
…1000101101110100
310121201221100210010
41103211320231310
510333011044224
6351055100220
746516356000
oct12345705564
93551840703
101402440564
1165a706398
12331811670
131947245b5
14d4389700
15831c7e29
hex53978b74

1402440564 has 96 divisors (see below), whose sum is σ = 3870720000. Its totient is φ = 394971360.

The previous prime is 1402440541. The next prime is 1402440601. The reversal of 1402440564 is 4650442041.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289837 + ... + 294635.

It is an arithmetic number, because the mean of its divisors is an integer number (40320000).

Almost surely, 21402440564 is an apocalyptic number.

1402440564 is a gapful number since it is divisible by the number (14) 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 1402440564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935360000).

1402440564 is an abundant number, since it is smaller than the sum of its proper divisors (2468279436).

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

1402440564 is a wasteful number, since it uses less digits than its factorization.

1402440564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4898 (or 4882 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 1402440564 is about 37449.1730749826. The cubic root of 1402440564 is about 1119.3386199368.

The spelling of 1402440564 in words is "one billion, four hundred two million, four hundred forty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 71 84 98 142 147 196 213 284 294 343 426 497 588 686 852 994 1029 1372 1491 1988 2058 2982 3479 4116 4799 5964 6958 9598 10437 13916 14397 19196 20874 24353 28794 33593 41748 48706 57588 67186 73059 97412 100779 134372 146118 201558 235151 292236 340729 403116 470302 681458 705453 940604 1022187 1362916 1410906 1646057 2044374 2385103 2821812 3292114 4088748 4770206 4938171 6584228 7155309 9540412 9876342 14310618 16695721 19752684 28621236 33391442 50087163 66782884 100174326 116870047 200348652 233740094 350610141 467480188 701220282 1402440564