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74157440 = 275716553
BaseRepresentation
bin1000110101110…
…00110110000000
312011112120212212
410122320312000
5122441014230
611205241252
71560220310
oct432706600
9164476785
1074157440
1138950645
1220a03228
1312495c56
149bc5440
15679c895
hex46b8d80

74157440 has 64 divisors (see below), whose sum is σ = 202620960. Its totient is φ = 25423872.

The previous prime is 74157439. The next prime is 74157443. The reversal of 74157440 is 4475147.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 74157397 and 74157406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74157443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3797 + ... + 12756.

Almost surely, 274157440 is an apocalyptic number.

74157440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

74157440 is an abundant number, since it is smaller than the sum of its proper divisors (128463520).

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

74157440 is a wasteful number, since it uses less digits than its factorization.

74157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16579 (or 16567 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

The square root of 74157440 is about 8611.4714189853. The cubic root of 74157440 is about 420.1311759576.

The spelling of 74157440 in words is "seventy-four million, one hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 16553 33106 66212 82765 115871 132424 165530 231742 264848 331060 463484 529696 579355 662120 926968 1059392 1158710 1324240 1853936 2118784 2317420 2648480 3707872 4634840 5296960 7415744 9269680 10593920 14831488 18539360 37078720 74157440