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152040420 = 223257671801
BaseRepresentation
bin10010000111111…
…11001111100100
3101121002110020200
421003333033210
5302410243140
623030430500
73524215350
oct1103771744
9347073220
10152040420
1178906244
1242b02430
132566485c
141629a460
15d534030
hex90ff3e4

152040420 has 144 divisors (see below), whose sum is σ = 535237248. Its totient is φ = 34214400.

The previous prime is 152040409. The next prime is 152040439. The reversal of 152040420 is 24040251.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 152040393 and 152040402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83520 + ... + 85320.

Almost surely, 2152040420 is an apocalyptic number.

152040420 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 152040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267618624).

152040420 is an abundant number, since it is smaller than the sum of its proper divisors (383196828).

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

152040420 is a wasteful number, since it uses less digits than its factorization.

152040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 152040420 is about 12330.4671444354. The cubic root of 152040420 is about 533.7276311635.

Adding to 152040420 its reverse (24040251), we get a palindrome (176080671).

The spelling of 152040420 in words is "one hundred fifty-two million, forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 67 70 84 90 105 126 134 140 180 201 210 252 268 315 335 402 420 469 603 630 670 804 938 1005 1206 1260 1340 1407 1801 1876 2010 2345 2412 2814 3015 3602 4020 4221 4690 5403 5628 6030 7035 7204 8442 9005 9380 10806 12060 12607 14070 16209 16884 18010 21105 21612 25214 27015 28140 32418 36020 37821 42210 50428 54030 63035 64836 75642 81045 84420 108060 113463 120667 126070 151284 162090 189105 226926 241334 252140 324180 362001 378210 453852 482668 567315 603335 724002 756420 844669 1086003 1134630 1206670 1448004 1689338 1810005 2172006 2269260 2413340 2534007 3378676 3620010 4223345 4344012 5068014 5430015 7240020 7602021 8446690 10136028 10860030 12670035 15204042 16893380 21720060 25340070 30408084 38010105 50680140 76020210 152040420