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142497120 = 2535307967
BaseRepresentation
bin10000111111001…
…01010101100000
3100221010121022010
420133211111200
5242434401440
622050112520
73350130333
oct1037452540
9327117263
10142497120
1173488217
123b87b740
13236a2b2c
1414cd461a
15c79b580
hex87e5560

142497120 has 96 divisors (see below), whose sum is σ = 450793728. Its totient is φ = 37836288.

The previous prime is 142497109. The next prime is 142497127. The reversal of 142497120 is 21794241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142497127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146877 + ... + 147843.

It is an arithmetic number, because the mean of its divisors is an integer number (4695768).

Almost surely, 2142497120 is an apocalyptic number.

142497120 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 142497120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225396864).

142497120 is an abundant number, since it is smaller than the sum of its proper divisors (308296608).

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

142497120 is a wasteful number, since it uses less digits than its factorization.

142497120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 142497120 is about 11937.2157557782. The cubic root of 142497120 is about 522.3184445869.

The spelling of 142497120 in words is "one hundred forty-two million, four hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 307 480 614 921 967 1228 1535 1842 1934 2456 2901 3070 3684 3868 4605 4835 4912 5802 6140 7368 7736 9210 9670 9824 11604 12280 14505 14736 15472 18420 19340 23208 24560 29010 29472 30944 36840 38680 46416 49120 58020 73680 77360 92832 116040 147360 154720 232080 296869 464160 593738 890607 1187476 1484345 1781214 2374952 2968690 3562428 4453035 4749904 5937380 7124856 8906070 9499808 11874760 14249712 17812140 23749520 28499424 35624280 47499040 71248560 142497120