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153420000 = 253542557
BaseRepresentation
bin10010010010100…
…00000011100000
3101200200112200020
421021100003200
5303233420000
623120153440
73542022426
oct1111200340
9350615606
10153420000
1179668798
1243468880
1325a28786
1416539116
15d707ba0
hex92500e0

153420000 has 120 divisors (see below), whose sum is σ = 503445096. Its totient is φ = 40896000.

The previous prime is 153419971. The next prime is 153420011. The reversal of 153420000 is 24351.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58722 + ... + 61278.

Almost surely, 2153420000 is an apocalyptic number.

153420000 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 153420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251722548).

153420000 is an abundant number, since it is smaller than the sum of its proper divisors (350025096).

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

153420000 is an equidigital number, since it uses as much as digits as its factorization.

153420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 153420000 is about 12386.2827353488. The cubic root of 153420000 is about 535.3370804977.

Adding to 153420000 its reverse (24351), we get a palindrome (153444351).

The spelling of 153420000 in words is "one hundred fifty-three million, four hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 2557 3000 3750 4000 5000 5114 6000 7500 7671 10000 10228 12000 12785 15000 15342 20000 20456 25570 30000 30684 38355 40912 51140 60000 61368 63925 76710 81824 102280 122736 127850 153420 191775 204560 245472 255700 306840 319625 383550 409120 511400 613680 639250 767100 958875 1022800 1227360 1278500 1534200 1598125 1917750 2045600 2557000 3068400 3196250 3835500 4794375 5114000 6136800 6392500 7671000 9588750 10228000 12785000 15342000 19177500 25570000 30684000 38355000 51140000 76710000 153420000