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142477440 = 2735710601
BaseRepresentation
bin10000111111000…
…00100010000000
3100221002121022020
420133200202000
5242433234230
622045441440
73350016060
oct1037404200
9327077266
10142477440
1173474456
123b870280
1323696ba1
1414ccb3a0
15c795810
hex87e0880

142477440 has 128 divisors (see below), whose sum is σ = 519073920. Its totient is φ = 32563200.

The previous prime is 142477429. The next prime is 142477441. The reversal of 142477440 is 44774241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (142477441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8140 + ... + 18740.

It is an arithmetic number, because the mean of its divisors is an integer number (4055265).

Almost surely, 2142477440 is an apocalyptic number.

142477440 is a gapful number since it is divisible by the number (10) 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 142477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259536960).

142477440 is an abundant number, since it is smaller than the sum of its proper divisors (376596480).

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

142477440 is a wasteful number, since it uses less digits than its factorization.

142477440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10630 (or 10618 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 33.

The square root of 142477440 is about 11936.3914144937. The cubic root of 142477440 is about 522.2943980184.

The spelling of 142477440 in words is "one hundred forty-two million, four hundred seventy-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 10601 13440 21202 31803 42404 53005 63606 74207 84808 106010 127212 148414 159015 169616 212020 222621 254424 296828 318030 339232 371035 424040 445242 508848 593656 636060 678464 742070 848080 890484 1017696 1113105 1187312 1272120 1356928 1484140 1696160 1780968 2035392 2226210 2374624 2544240 2968280 3392320 3561936 4070784 4452420 4749248 5088480 5936560 6784640 7123872 8904840 9498496 10176960 11873120 14247744 17809680 20353920 23746240 28495488 35619360 47492480 71238720 142477440